# Ch 36: ACT Math: Coordinate Geometry

### About This Chapter

## ACT Math: Coordinate Geometry - Chapter Summary

In preparation for the ACT test, put our short videos and helpful quizzes to use and brush up on coordinate geometry topics, such as:

- Slopes and tangents on graphs
- Graphing circles, absolute value, undefined slope and zero slope
- Transformations
- Point-slope, distance and midpoint formulas
- Standard, intercept and vertex parabolas

Start with the various parts of a graph and basic graphing functions, and then work your way through all 12 lessons. Be sure to complete the corresponding quizzes to measure your understanding of the topics and practice your testing strategies.

### ACT Math Objectives

This is a 60-question, 60-minute portion of the ACT test. The questions are multiple-choice and assess your reasoning skills in finding the solutions to math problems. The math section addresses the following six areas:

- Coordinate Geometry
- Plane Geometry
- Trigonometry
- Pre-Algebra
- Elementary Algebra
- Intermediate Algebra

The coordinate geometry section of the test makes up 15% of the questions. Testing focuses on the following essential areas:

- Graphing
- Relations between graphs and equations (lines, points, circles and polynomials)
- Graphing inequalities
- Slope
- Perpendicular and parallel lines
- Distance
- Midpoints
- Conics

You'll receive four scores for the math test: an overall score for all 60 questions and sub-scores in intermediate algebra/coordinate geometry, plane geometry/trigonometry and pre-algebra/elementary algebra. A set of 18 questions forms the basis for the intermediate algebra/coordinate geometry sub-score.

### 1. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

### 2. Graphing Basic Functions

Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.

### 3. Equation of a Line Using Point-Slope Formula

It's time for a road trip to Las Vegas, and after four hours of driving at 60 mph ... Are we there yet? Learn the point-slope form of the equation of a line to help answer this age-old question.

### 4. Slopes and Tangents on a Graph

Hit the slopes and learn how the steepness of a line is calculated. Calculate the slopes between points and draw the tangents of curves on graphs in this lesson.

### 5. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

### 6. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

### 7. Abstract Algebraic Examples and Going from a Graph to a Rule

Just because you now know what a linear equation is doesn't mean that you are a master! This video will help you learn how to apply your knowledge of linear equations in more abstract algebraic ways.

### 8. Graphing Undefined Slope, Zero Slope and More

There are two special cases when it comes to slopes on the xy plane: horizontal and vertical lines. Without any more information, these examples can be pretty confusing. But with a little instruction, they end up being some of the easiest lines to graph!

### 9. Graphs of Parallel and Perpendicular Lines in Linear Equations

When we deal with linear equations, we sometimes come across equations that are parallel to each other or perpendicular to each other. You will see what they look like when graphed in this video lesson.

### 10. Rotations in Math: Definition & Overview

A geometric rotation refers to the rotating of a figure around a center of rotation. This lesson will get you going on rotations, give you some examples, and end with a quiz that tests your knowledge of rotations.

### 11. Reflections in Math: Definition & Overview

A reflection of an object is a 'flip' of that object across a line. This lesson will describe the basics of reflection, how to recognize one and how to create one.

### 12. Graphing Absolute Value Equations: Dilations & Reflections

Although a basic absolute value graph isn't complicated, transformations can make them sufficiently confusing! In this lesson, you'll practice different transformations of absolute value graphs.

### 13. How to Graph an Absolute Value and Do Transformations

Absolute value graphs normally look like the letter 'V', but transformations can change that 'V' in a number of different ways. As well as teaching you how to graph absolute values, this video will focus on a specific group of transformations called translations. Learn all about what that means here!

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### Other Chapters

Other chapters within the ACT Prep: Practice & Study Guide course

- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Production of Writing
- ACT English: Style
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Reading: Overview
- ACT Reading: Question Types
- ACT Reading: Understanding Reading Passages
- ACT Reading: Analyzing Reading Passages
- ACT Reading: Word Meanings and Choice
- ACT Reading: Practice
- ACT Math: Overview
- ACT Math: Number & Quantity
- ACT Math: Pre-Algebra
- ACT Math: Algebraic Expressions
- ACT Math: Radicals
- ACT Math: Linear Equations
- ACT Math: Functions
- ACT Math: Types of Functions
- ACT Math: Absolute Value
- ACT Math: Matrices
- Vectors in Math
- ACT Math: Inequalities
- ACT Math: Probability, Combinations & Factorial
- ACT Math: Data and Statistics
- ACT Math: Exponents
- ACT Math: Polynomials and Quadratics
- ACT Math: Rational Equations and Expressions
- ACT Math: Sequences
- ACT Math: Complex Numbers
- ACT Math: Exponentials and Logarithms
- ACT Math: Conic Sections
- ACT Math: Triangles
- ACT Math: Plane Geometry
- ACT Math: Lines and Angles
- ACT Math: Trigonometry
- ACT Science Reasoning: Overview
- ACT Science Reasoning: Fundamentals of Science
- ACT Science Reasoning: Evaluating Models
- ACT Prep Flashcards