Copyright

Ch 21: MoGEA Mathematics Subtest: Coordinate Geometry

About This Chapter

Enhance your studies for MoGEA Mathematics subtest by reviewing the short and engaging lessons in this chapter. Gain greater insight into coordinate geometry, then test your comprehension by taking lesson quizzes and a chapter exam.

MoGEA Mathematics Subtest: Coordinate Geometry - Chapter Summary

This in-depth look at coordinate geometry can ensure you're prepared for related questions on the MoGEA Mathematics subtest. Use the lessons to get reacquainted with formulas, calculations, theorems and more so you're able to:

  • Describe the Cartesian coordinate system and the coordinate system in geometry
  • Solve word problems with plotted data on a coordinate plane, and identify properties and postulates of geometric figures
  • Use the midpoint and distance formulas, and find distance with the Pythagorean theorem
  • Define and graph transformations in math, and make calculations involving distance, rate and time
  • Provide the definitions and descriptions of translation, dilation, rotations and reflections in math
  • Share the meaning of rotational symmetry and glide reflection in geometry

Expert instructors in this chapter have compiled materials and created fun video and text lessons that can keep you engaged as you refresh your knowledge of coordinate geometry. Full transcripts of the videos are also available that you can print to take additional notes or highlight key points. Each lesson features a short self-assessment quiz designed to gauge your comprehension of the subject matter. If you want a broader review of the lessons, take the more extensive chapter exam.

15 Lessons in Chapter 21: MoGEA Mathematics Subtest: Coordinate Geometry
Test your knowledge with a 30-question chapter practice test
The Cartesian Coordinate System: Plotting Points & Graphing Lines

1. The Cartesian Coordinate System: Plotting Points & Graphing Lines

Watch this video lesson to see how useful the Cartesian coordinate system is. Learn how points are labeled and how you can plot points and graph lines using the system.

Coordinate System in Geometry: Definition & Types

2. Coordinate System in Geometry: Definition & Types

Coordinate systems use 1-dimensional, 2-dimensional and 3-dimensional spaces and coordinates to define points. The ''xy'' coordinate grid is the most common of these systems, which you can learn how to use in this lesson.

Solving Word Problems with Plotted Data on a Coordinate Plane

3. Solving Word Problems with Plotted Data on a Coordinate Plane

After watching this video lesson, you will be able to solve word problems that involve plotted points on a coordinate plane. Learn how to choose the right points that will answer your question.

Properties and Postulates of Geometric Figures

4. Properties and Postulates of Geometric Figures

In geometry, there are some basic postulates that are relied upon as the basis for other theorems. Watch this video to learn about the postulates that deal with points, lines, and planes.

How to Use The Midpoint Formula

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.

How to Use The Distance Formula

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!

Distance Formulas: Calculations & Examples

7. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

Finding Distance with the Pythagorean Theorem

8. Finding Distance with the Pythagorean Theorem

How much faster is it to cut the corners in a race around the block? In this lesson, review the Pythagorean Theorem, and figure out how to solve without a right triangle.

Transformations in Math: Definition & Graph

9. Transformations in Math: Definition & Graph

In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.

What is Translation in Math? - Definition, Examples, & Terms

10. What is Translation in Math? - Definition, Examples, & Terms

In mathematics, translation refers to moving an object without changing it in any other way. This lesson will describe how to translate an object and give some examples. A quiz will follow to test your knowledge.

Dilation in Math: Definition & Meaning

11. Dilation in Math: Definition & Meaning

Dilations are transformations that change figures in specific ways. Learn about these changes and how to complete dilations here. Then test your understanding with a quiz.

Rotations in Math: Definition & Overview

12. 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.

What is Rotational Symmetry? - Definition & Examples

13. What is Rotational Symmetry? - Definition & Examples

If you have ever tried to hang a picture and not been able to tell which end was up, then your picture might have had rotational symmetry. Rotational symmetry is the characteristic that makes an object look the same even after you've rotated it.

Reflections in Math: Definition & Overview

14. 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.

Glide Reflection in Geometry: Definition & Example

15. Glide Reflection in Geometry: Definition & Example

In this lesson, we will look at transformations of geometric figures and concentrate on one type of transformation in particular: a glide reflection. Through a definition and examples, we will become comfortable with this type of transformation.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support