About This Chapter
Coordinate Geometry - Chapter Summary
The video lessons in this chapter will equip you to apply the concepts and properties of slope, midpoint, parallelism, perpendicularity and distance in exploring the properties of geometric figures and solving problems in the coordinate plane. In this chapter, you'll learn to use the distance formula, prove geometric theorems and prove the slope criteria. Other lessons describe how to apply formulas for perimeter, area, surface area and volume of geometric figures and shapes, such as polygons, pyramids and prisms. By the end of this chapter, you should be able to:
- Utilize coordinates to prove geometric theorems
- Use the distance formula to solve geometric problems
- Solve geometric problems using slope criteria
- Find a point that partitions a segment
- Utilize coordinates to compute the perimeters of polygons
- Find the areas of triangles and rectangles through the use of coordinates
Our brief lessons are taught by experienced instructors who know how to make learning fun. A written transcript of each video is provided, giving you another method to access this material. Important terms that you'll need to remember are highlighted in the lessons. You can test your knowledge of the topic you've just covered with the multiple-choice questions at the end of each lesson. These questions contain links to the video, so you can easily go back and review key points without having to re-watch the entire lesson.
1. What is a Plane in Geometry? - Definition & Examples
This lesson will help you understand the geometry concept of a plane. We will discuss how to name planes and look at some example problems. Then, you can check your understanding with a quiz.
2. Points, Lines & Angles in Geometry
After watching this video lesson, you should understand the basic terms that form the foundation of geometry. Learn what a point is, what a line is, what an angle is, and learn about a special type of angle called a right angle.
3. Calculating the Slope of a Line: Point-Slope Form, Slope-Intercept Form & More
Being able to calculate the slope of a line is a very useful skill to have. Why? Watch this video lesson to find out and learn how to find the slope when working with various equations and various lines.
4. Point of Intersection: Definition & Formula
In this lesson, we'll learn what the point of intersection is and how to find it graphically and algebraically. This concept applies to lots of other areas of study, including business, finance, construction and physics.
5. 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.
6. 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!
7. What are Perpendicular Lines? - Definition & Meaning
Perpendicular lines are shaped like a 'T' and have special properties that non-perpendicular lines don't have. Because of these special properties, it is important to be able to distinguish perpendicular lines from those that aren't. In this lesson, we will explore ways to determine whether or not two lines are perpendicular.
8. What are Parallel Lines? - Definition & Concept
In this lesson, you will learn about parallel lines and how you can identify and label them. You'll also find out how they are similar to things found in everyday life.
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Other chapters within the TExES Mathematics 7-12 (235): Practice & Study Guide course
- About the TExES Math 7-12 Exam
- Real Numbers
- Mathematical Models
- Complex Numbers & the Complex Plane
- Number Theory
- Number Patterns
- Functions and Graphs
- Linear Functions
- Quadratic Functions & Polynomials
- Evaluating Piecewise & Composite Functions
- Rational and Radical Functions
- Inequalities and Absolute Values
- Exponentials & Logs
- The Unit Circle
- Trigonometric Functions
- Using a Scientific Calculator for Calculus
- Understanding Limits in Math
- Understanding Rate of Change
- Calculating Derivatives of Functions
- Derivatives and Graphs
- Optimization in Calculus
- Definite Integrals and Sums
- Integration Applications in Calculus
- Working with Measurement
- Finding Volume, Area & Perimeter
- Introduction to Proofs and Constructions
- Congruence and Similarity
- Real World Shapes
- Understanding Transformations in Math
- Conic Sections
- Understanding Vectors
- Measuring & Displaying Data
- Data Distribution Overview
- Sampling in Statistics
- Distribution & Inference in Statistics
- Inference About a Mean
- Regression and Correlation
- Finding Probability
- Probability Distributions and Statistical Inference
- Experiments and Surveys
- Mathematical Process & Perspectives
- Teaching Strategies & Activities for the Math Classroom
- Differentiated Instructional Strategies for the Math Classroom
- Using Student Assessments in the Math Classroom
- TExES Mathematics 7-12 Flashcards