# Unit 1 Geometry Basics Homework 1 Points Lines And Planes Answer Key

1 Points, Lines, and Planes. Named with capital letters. The objective today is identify points, lines planes, collinear, noncollinear, coplanar, noncoplanar, and intersecting lines. 4 Angle Pairs and Relationships 1. 17 Unit 1-Basics of Geometry 1. Named by a capital script letter or by three noncollinear points on the plane. 1, Name Study Guide Integration: Geometry Reflections Date When a figure is reflected on a coordinate plane, every point of the figure has a corresponding point on the other side of the line of symmetry. Grade 7 (Pre-algebra) End-of-the-Year Test This test is quite long, because it contains lots of questions on all of the major topics covered in the Math Mammoth Grade 7 Complete Curriculum. Math Pick Up Lines. 1 CONDENSED In this lesson you will represent situations with systems of equations use tables and graphs to solve systems of linear equations A system of equations is a set of two or more equations with the same variables. For instance, the teacher might ask:. SAT Math Test Prep Online Crash Course Algebra & Geometry Study Guide Review, Functions,Youtube - Duration: 2:28:48. A plane is a flat surface having no boundaries. Answer: We expect the graph of this function to be a parabola, translated from the origin so. Students will be constructing paper cubes and answering corresponding questions. What is the value of a? A. Up/Down arrow keys: Flip the card between the front and back. Practice the relationship between points, lines, and planes. 1-6 Midpoint and Distance in the Coordinate Plane Complete the statements. Each unit in the coordinate plane represents 1 foot. Topic: Unit 1(12 days) - Tools of Geometry (Chapter 1) Key Learning(s) Unit Essential Question(s): Why is it important to learn the basic geometry terms and concepts before continuing the course? Ruler, protractor, graph/number line paper. Homework Math homework = no explanations and eight problems a night. Mathematics - High School Geometry. Syllabus Objective: 10. 1 Points, Lines, and Planes. Chapter 1: Points, Lines, Planes, and Angels: Chapter 1: Points, Lines, Planes, and Angels. To learn the vocabulary of points, lines, and planes. Helpful Documents. It has no thickness. Proposition 15. Use postulates and undefined terms. Unit 1 Geometry Basics. There are two diﬀerent forms of the equation, and you should be able to recognise both of them. Calculator Use. Parallelogram 9. Integer Worksheets. In geometry, the words point, line, and plane are undefined terms. Learn more about the EM curriculum and how to assist your child. How many points are necessary to define a line? _____ 2. Key concept: Equations can describe real world objects like simple lines. Points, Lines, and Planes Name Points, Lines, and Planes In geometry, a point is a location, a line contains points, and a plane is a flat surface that contains points and lines. 1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. Name two acute angles in the figure. In the module to follow, you will learn about the other—physical (wave) optics. The Math Forum has a rich history as an online hub for the mathematics education community. com offers different free online practice tests on the subjects of adding and subtracting integers, the coordinate plane, and translations. Given the points A(–1, 2) and B(7, 14), find the coordinates of the point P on directed line segment AB that partitions in the ratio 1:3. Here's how they look on a graph: With just a quick glance, you can tell they are 3 units apart. 1 Educator Answer. They write parallel, intersecting, or perpendicular, to describe the relationships between 4 pairs of lines. If the three points are not collinear, we cannot say a point is between two other points. Home Unit 1 Quiz Answer Key (Both Versions) Unit 4 - Parallel Lines. NYS COMMON CORE MATHEMATICS CURRICULUM 4•Lesson 3 Answer Key Homework. 8 Deductive Reasoning. Geometry Basics: Points, Lines, Planes, Angles (Geometry Curriculum - Unit 1) This bundle contains notes, homework assignments, three quizzes, dictionary, study guide and a unit test that cover the following topics:• Points, Lines, and Planes• Segment Addition Postulate• The Distance Formula• The Mi. The distance is the absolute value of the difference of the numbers on the ruler that correspond to the two points. By continuing this reasoning, r 1 i r 5. Answer Key: Yes. So, I do have a solution. Get the exact online tutoring and homework help you need. Abrajbank - Segment Addition Postulate And Angle Addition Postulate Worksheet. Lines, Rays, and Angles. Basic geometric concepts of point, line, plane. 27 Sophia partners guarantee credit transfer. NYS COMMON CORE MATHEMATICS CURRICULUM 4•Lesson 3 Answer Key Homework. In geometry, the words point, line, and plane are undefined terms. Transformations in Geometry basically what they are is changing an original size, shape or position of a figure to create a new image so you're going to start with something and you're going to change it in some way and end up with a new image. The diagram shows the four vertices of the shed. Learn how to perform basic math functions, and share your own tips and tricks for solving problems and calculating answers for everything math related, from algebra to geometry to trigonometry to advanced calculus. Content Standards. Pairs with Workbook page 7 1-14, 21-29, Advanced Problems page 9 1-7 Like, Share, and. Line Segment B C A line segment is a straight path between 2 points. Your location: Mathematics > Geometry > 1. Before going to class, some students have found it helpful to print out Purplemath's math lesson for that day's topic. Home > Geometry Concepts and Skills > Chapter 1 > 1. point, line, and plane. (1) If LP=4. This arrangement gives students early exposure to all the basic three-dimensional objects that will be encountered throughout the remainder of the text. Points, Lines, and Planes KEY Practice Problems 1. Geometry Curriculum (with Activities) What does this curriculum contain? This curriculum includes 750+ pages of instructional materials (warm-ups, notes, homework, quizzes, unit tests, review materials, a midterm exam, a final exam, and many other extras), in addition to 140+ engaging games and activities to supplement the instruction. Postulate 1: A line contains at least two points. Yeah instant Algebra 1 homework help! If you use the Free version below, you will receive the answer to any problem. Geometry Unit 3 Part 1: Points Lines and Planes. You want to see how many steps it will take you to get all the way around the edge. Also offer a math chat board, math puzzles, a math image library, educational links, and homework suggestions. 10 per gigabyte over the monthly limit. Any shape that can be drawn in the plane is called a plane figure. 3 Points, Lines, and Planes. They draw an example of two parallel lines that are crossed by one. Example 13. Placement Test Practice Problems Book II Geometry, Trigonometry, and Statistics Eric Key, University of Wisconsin-Milwaukee David Ruszkiewicz, Milwaukee Area Technical College This material is based upon work supported by the National Science Foundation under Grant No. Easier to grade, more in-depth and best of all 100% FREE! Common Core , Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!. Name two lines. Name AB in another way. Math Pick Up Lines. Thank you for your support! (If you are not logged into your Google account (ex. Points, Lines, and Planes. They're both on the x axis, so it's just a straight line measurement. Unit 1: Basic of Geometry Point A is on the coordinate 4 and point B is on the coordinate -1. 6 The Coordinate Plane 35 Use what you learned about the coordinate plane to complete Exercises 15 –18 on page 38. Answer: (C) This might look like a traditional plug-and-chug problem, but the problem is asking for a specific value, and the answer choices are all real numbers. Period: _ Geometry Unit 1: Tools of Geometry Homework Section 1. ANSWER KEY Super Teacher Worksheets - www. A point is an exact location in space. 1 Points, Lines and Planes. TERM Picture Collinear Points are points that Coplanar – Points and lines that Space = 1. Quickly memorize the terms, phrases and much more. Answers to Homework 1 Summer 2016. Geometry Unit 1 Answer Key Section 1. 1 Lines and Angles Plane geometry is devoted primarily to the properties and relations of and D are points on. Suppose we overlay a circle with radius 1 on the xy-plane, its center at the origin. MHID: 0-02-111965-1 Homework Practice and Problem-Solving Practice Workbook Contents Include: • 117 Homework Practice worksheets- one for each lesson • 117 Problem-Solving Practice worksheets- one for each lesson to apply lesson concepts in a real-world situation Homework Practice and Problem-Solving Practice Workbook. Example 1: Exs. They do not have formal deﬁnitions but there is agreement about what they mean. We also look at some problems involving tangents to circles. 2: Points, Lines and Planes. Unit #1 common core state standards/"I can" packets given to students. Unit 1: Points, Lines, Planes. Please report broken links to Professor Hansen via e-mail: mhansen at american. Use the figure for Exercises 3–5. Carver's Geometry students submitted ideas for real world examples of points, lines and planes. 6 The Coordinate Plane 35 Use what you learned about the coordinate plane to complete Exercises 15 –18 on page 38. 4: Angles Slide 43 Parts of an angle Sides of an. Welcome to MathHomeworkAnswers. A point is an exact location in space. Name a point that is not coplanar with points L, N, and P. Unit Rates and Graphs Worksheet 1 (Integers) - This 9 problem worksheet features graphs that represent everyday situations. Join our Math World now to meet up with other math students and mathematicians on the Web. A ray is drawn from the origin, intersecting the circle at point P (see Fig. 1 Ruler Postulate The points on a line can be matched one to. X Graph each point on the coordinate plane at the right. TRUE FALSE 17) If two planes intersect, then their intersection is a line. 8 A math tool used for measuring or drawing angles. CONJECTURES - Discovering Geometry Chapter 2 C-1 Linear Pair Conjecture - If two angles form a linear pair, then the measures of the angles add up to 180°. Identify the intersection of a plane. Multiple Choice (80 points, 5 points each) Identify the choice that best completes the statement or answers the question. Welcome to IXL's year 10 maths page. Over 270 free printable math posters or maths charts suitable for interactive whiteboards, classroom displays, math walls, display boards, student handouts, homework help, concept introduction and consolidation and other math reference needs. Welcome to algebra-online. It’s just the answer key for Hard Math for Elementary School: Workbook. Find point line plane geometry lesson plans and teaching resources. In fact, none of these is actually a plane, because a plane must continue infinitely in all directions and have no thickness at all. The Point-Slope Form of a Line. Lesson 2 Segment Addition and Angle Addition. Name a line that contains points T and P. Initial Point Starting point for a ray. 1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures. T and N = osculating plane, which literally means the 'kissing' plane. Point-Slope Form The equation of a line in Point-Slope Form through point (x 1, y 1) with slope m y – y 1 = m(x – x 1) Derive Point-Slope Form: Example 1: A line passes through (-5, 2) and has slope 3/4. This quiz requires you to log in. Electric Field Lines +Q -Q Electric field line diverge from (i. A zoo is a home to many animals and birds living together in perfect harmony. These words do not have formal definitions, but there is agreement about what they Explain your reasoning. A plane is a flat surface having no boundaries. In a hurry? Browse our pre-made printable worksheets library with a variety of activities and quizzes for all K-12 levels. GSE Analytic Geometry • Unit 1 Mathematics 1GSE Analytic Geometry Unit : Similarity, Congruence, and Proofs July 2019 Page 6 of 202 MGSE9-12. Reflection on First Day_Introduction to Geometry. When two straight lines intersect one another, the vertical angles are equal. Initial Point Starting point for a ray. You can see steps and explanations of your algebra homework problems covering:. Geometry Term One Homework Name Due Section Topic Page Problems # 1. Buy at the bookstore: The Official SAT Subject Test Study Guide in Mathematics Level 1. Intersecting planes can also form three-dimensional figures or solids. Geometry Worksheets Geometry Worksheets for Practice and Study. 2 Points, Lines, and Planes 1. Helpful Documents. A theorem is a true statement that can be proven. Some of the unit rates are obvious, but on some problems students will have to analyze the graph scale to identify the correct unit rate. GSE Analytic Geometry • Unit 1 Mathematics 1GSE Analytic Geometry Unit : Similarity, Congruence, and Proofs July 2019 Page 6 of 202 MGSE9-12. 2 Points, Line Segments, Lines, and Rays Lesson 1. Oct 15, 2014. Give two other names for ⃖PQ ⃗ and plane R. So imagine the grid lines are equal to one step. Math test activities for students and teachers of all grade levels. Calculate the distance between 2 points in 2 dimensional space. That menu contains learning aids that. Today we will be going over your Student Notes 1. The best source for free math worksheets. There are also packets, practice problems, and answers provided on the site. Parallel lines accurately. Grade 6 math IXL offers hundreds of grade 6 math skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall and choose a skill that looks interesting! IXL offers hundreds of grade 6 math skills to explore and learn! Not sure where to start?. Answer Key: Yes. 6 Perimeter and Area in the Coordinate Plane incomplete 1. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Electric Field Lines +Q -Q Electric field line diverge from (i. EHR-0314898. Log in with ClassLink. If you don't see any interesting for you, use our search form on bottom ↓. The direction of the line is the direction of the electric field. Which unit is BEST for measuring how long a baseball game lasts? Which point is located by the ordered pair (0, 3)?. 2 Segments, Rays, Parallel Lines and Planes. Key Vocabulary Undefined terms - These words do not have formal Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use. 3 Keystroke Help (pdf). Key facts about the gradients and the shape of the straight line graphs:. Abrajbank - Segment Addition Postulate And Angle Addition Postulate Worksheet. Google Classroom. 3 Measuring Angles 1. The study of this topic starts with an understanding of these. It is easy to recognize parallel planes written in the form ax+by+cz=d since. Conversely, given any ordered pair (x, y) there corresponds a point in the plane whose co-ordinates are (x, y). 6 The Coordinate Plane 35 Use what you learned about the coordinate plane to complete Exercises 15 –18 on page 38. Geometry Notes Volume and Surface Area Page 3 of 19 Example 1: Find the volume and the surface area of the figure below 4. End-of-the-Year Test - Grade 3 This test is quite long, so I do not recommend having your child/student do it in one sitting. To name a line, pick any. unit 1 student notes (geometry basics). FACEing 1st Grade Math; FACEing 2nd Grade Math; FACEing Elementary Math (3rd-4th grade) FACEing Standards for Mathematical Practice (3rd-5th grade) FACEing Multiplication (3rd-6th grade) FACEing 4th Grade Math; FACEing Elementary Math Vocabulary (4th-6th grade) FACEing 5th Grade Math; FACEing 6th Grade Math; FACEing 5th-7th Grade Geometry. A postulate is a statement that is assumed to be true; this is also called an. The Cartesian coordinate system, also known as the coordinate plane, is used to graph lines, circles, parabolas, points, and other mathematical objects. Solvers with work shown, write algebra lessons, help you solve your homework problems. It can be seen as the study of solution sets of systems of polynomials. We also look at some problems involving tangents to circles. IDENTIFYING POSTULATES State the postulate illustrated by the diagram. New Mexico Language Arts Test Prep Workbook Answer Key Grades 6 – 8 ~ Free Homework Answers - Textbooks, Workbooks and Answer Keys: Free homework answers, math, language and more, Pearson, Holt, Prentice Hall, Hall,. Parallel and Perpendicular Lines in Two Dimensions - examples with solutions. Copying your bf homework is cheating. For Exercises 1–6, sketch, label, and mark each figure. Geometry Unit 3 Part 2: Angles, Parallel and Perpendicular Lines. Note that on a Homework assignment the Check Answer button changes to say Final Check on your last try. Directions Answer the following questions. Students map field lines around bar magnets to visualize the magnetic dipole field, and create their own electromagnet using copper wire, battery. New Ways to Teach Definitions & Axioms: Points, Lines Students decide if it's sometimes true, always true, or never true; then, using the key on the side of the She drew out 10 sketches of figures with points, lines, and planes, making them increasingly. Apply basic facts about points, lines, and planes. – The unit cell might contain more than one molecule: • for example, the quartz unit cell contains 3 complete molecules of SiO 2. Page 1 of 2 Answers: Chapter 1 Foundations for Geometry Lesson 1-1 Understanding Points, Lines, and. 1 Write the point-slope form of an equation for each. Unit 1-Basics of Geometry 1. This is what I offer you here - math worksheets, that are high interest. Helpful Documents. EXPLAIN : Objective 1: Basic Terms of Geometry. Great Minds is a non-profit organization founded in 2007 by teachers and scholars who want to ensure that all students receive a content-rich education. Chapter 1: Points, Lines, Planes, and Angels: Chapter 1: Points, Lines, Planes, and Angels. Secant line that contains a chord. 15 # 2-40 evens Slide 42 Lesson 1. Each unit in the coordinate plane represents 1 foot. Notice the Question Help dropdown menu on the top right of the window. Magnetism and Electromagnetism is a review of basic magnetism, similar to what is encoun-tered in most grade-level physical science texts. planes EFG, ABC, ADF, and BCG 10. Unit A Homework Helper Answer Key 8. Skew Lines (p129) – two lines that do not intersect and are not coplanar. They do not have formal deﬁnitions but there is agreement about what they mean. Point, Line and Plane: In Geometry, we have several fundamental concepts: point, line and plane. unit 1 teacher notes (geometry basics). 2 Helping Your Child Learn Mathematics Helping Your Child Learn Mathematics 3 Some Important Things Your Child Needs to Know About Mathematics You can help your child learn math by offering her insights into how to approach math. Worksheets that get students ready for Plotting Points skills. If we want to find the distance between two points in a coordinate plane we use a different formula that is based on the Pythagorean Theorem where (x1,y1) and (x2 The point that is exactly in the middle between two points is called the midpoint and is found by using one of the two following equations. 5 Segment and Angle Bisectors 1. FALL 2015. Unit 1: The Basics of Geometry. They write parallel, intersecting, or perpendicular, to describe the relationships between 4 pairs of lines. (2 pt) Refer to the Figure. Geometry A Semester Review. Two planes are parallel if their normal vectors are parallel (constant multiples of one another). Welcome to Algebra 1 help from MathHelp. We can describe intuitively their characteristics, but there is no set definition for them: they, along with the plane, are the undefined terms of geometry. How many points are necessary to define a line? _____ 2. Math formula shows how things work out with the help of some equations like the equation for force or acceleration. /D(Q/ze /D(Q/v-e 3. Get Another Hint. A plane contains infinitely many points. com Expect FOURTEEN Plane Geometry problems on your ACT Math Test. This worksheet covers some basics terms and postulates of geometry. Name two lines. Math Questions and Answers from Chegg. AK and CG intersect at point M in plane T. Up/Down arrow keys: Flip the card between the front and back. Geometry Homework Assignments. want Postulate 1-3: A line with points in a plane also lies within that plane. We hope that you find exactly what you need for your home or classroom!. This quiz requires you to log in. This includes school websites and teacher pages on school websites. Section 1: Introduction to Geometry – Points, Lines and Planes Section 1 – Topic 1 Basics of Geometry – Part 1 What is geometry? Geometry means “_____ _____,” and it involves the properties of points, lines, planes and figures. y-y 1 = m (x - x 1), where m is the gradient and x 1 and y 1 are co-ordinates of a given point. Draw and label a figure for each relationship. Doherty High School. (The symbol for “is parallel to” is ) 2. So basically it just does what you would expect: it gives the answers to the problems in the Workbook. Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual problems. All of our Geometry Worksheets and printables are free for classroom and educational use. We are provide free online math dictionary for kids and also providing free solved math problems with step-by-step solutions on Elementary, Middle, High School Math content. A debt of gratitude is owed to the dedicated staff who created and maintained the top math education content and community forums that made up the Math Forum since its inception. Name the intersection of line k and plane A. Geometry Unit 1 Answer Key Section 1. Grade 9 geometry problems and questions with answers are presented. We help thousands of students get better grades every day. Incline Problem PDF. Introductory Unit (patterns, basic geometric shapes, Measuring in the Plane and Space Unit - developed by Carrie Klein. FALL 2015. 3 Midpoint and Distance 9 9/26 Review Day Wkst: 1. They cover the material from basic to college level algebra. 01 - Points, Lines & Planes Pt. Basic Constructions. They contain practice questions and learning activities for the course. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line. 6 The Coordinate Plane 35 Use what you learned about the coordinate plane to complete Exercises 15 –18 on page 38. I can name and sketch geometric figures. UNIT 1 WORKBOOK. Define and/or use these words in sentences to show their meanings. Give one counterexample that shows the conjecture is false. End-of-the-Year Test - Grade 3 This test is quite long, so I do not recommend having your child/student do it in one sitting. Grade 9 geometry problems and questions with answers are presented. This section provides examples and definitions of Compute the answer to the given problem, and select your response. 5 and we are supposed to determine NR, then LP, MQ, and NR are line SEGMENTS, not lines. Learning basic multiplication facts is a challenge for many students. Coplanar points are points that lie in the same plane. There are several basic types of angles, depending on their size. Get homework answers from experts in math, physics, programming, chemistry, economics, biology and more. Points lines and planes 1. Using the purple line as the mirror, draw the reflection of triangle ABC. TRUE FALSE 19) PQ has only TRUEone endpoint. Slide 39 Points, Lines, and Planes Ray Part of a line that starts at a point and extends infinitely in one direction. It is represented as a dot with a capital alphabet which is its name (Figure 1. Describe points, lines, and planes using geometric notation. All of our Geometry Worksheets and printables are free for classroom and educational use. Geometry Worksheet 1. plane, so they are coplanar. Line A line is a set of points that originate from one point and extend indefinitely in two opposing directions. Protect marine biodiversity essay. the points are near each other. Give two other names for @MQ ##$. To learn the vocabulary of points, lines, and planes. The distance from the library to your home is the length of the hypotenuse, HL. Are usually named by lower case script letters or by writing capital lettersfor 2 points on the line with a double arrow over the pair of letters. 1, Name Study Guide Integration: Geometry Reflections Date When a figure is reflected on a coordinate plane, every point of the figure has a corresponding point on the other side of the line of symmetry. Common Core Geometry. 1 Points, Lines, and Planes. 5 is a line and a half-plane. Together they make a line. LOGIN New to Big Ideas Math? LOG IN. Name Points, Lines, and Planes In geometry, a point is a location, a line contains points, and a plane is a flat surface that contains points and lines. PRACTICE (online exercises and Coplanar can also refer to other geometric figures. Explore this Article Calculating the Equation with One Point and the Slope Finding the Equation Using Two Points Article Summary Questions & Answers Related Articles References. If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. Round your answer to the nearest whole number. Give the coordinates of each point. If a line and plane have no points in common, then they are parallel. Unit 1: The Basics of Geometry. y-y 1 = m (x - x 1), where m is the gradient and x 1 and y 1 are co-ordinates of a given point. 2 - Using Segments and Congruence. Click on "Submit Answer" to. Name a point not coplanar with points R, S, and V. unit 9 transformations homework 1 reflections answers Chapter 9: Transformations Where one side of an object matches the other side answers will vary and each angle Find the equation of the line that contains (, ) and (, ) The rigid transformations are translations, reflections, and rotations The new In the coordinate plane, we say that a translation moves a figure x units and. Name four points in the figure. Easier to grade, more in-depth and best of all 100% FREE! Common Core , Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more!. In fact, none of these is actually a plane, because a plane must continue infinitely in all directions and have no thickness at all. It is the twelve-point sphere and besides the centroids of the four faces of the reference tetrahedron, it passes through four substitute Euler points, one third of the way from the Monge point toward each of the four vertices. Name three collinear points. The distance is the absolute value of the difference of the numbers on the ruler that correspond to the two points. start ) on positive charge and end on negative charge. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over $1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: