Ch 32: Understanding Transformations in Math

About This Chapter

Let us teach you the basic vocabulary of geometry and the definitions of important terms. You'll learn about different types of transformations in these video lessons and quizzes.

Understanding Transformations in Math - Chapter Summary

The lessons in this chapter will teach you to analyze the properties of polygons and their components. You'll learn to use properties of points, lines, planes, angles, length and distances to solve problems. Rigid motions and the definition of congruence are covered, and this chapter will also explore symmetry in geometry.

You'll study transformations, such as reflections, translations, glide-reflections, dilations and rotations, and learn about their properties. Another lesson covers problem solving by using transformations and their compositions, and you'll get instruction on applying transformations in the coordinate plane. Reflectional, rotational and translational symmetry using transformation is part of this chapter as well. These lessons will give you a solid understanding of geometry topics that include:

  • Geometry vocabulary and definitions of key terms
  • How to shift graphs on a plane
  • Rotations and reflections of quadrilaterals and regular polygons
  • Definitions of rotation, reflection and translation
  • Drawing transformed figures
  • Identifying sequences of transformations that make one figure into another
  • Transforming figures by using rigid motions
  • Transformations in the coordinate plane

Experienced instructors will guide you through each topic in these concise, engaging video lessons, using examples from the real world to explain their points. Written transcripts of each lesson are available to give you another method to access this material. There is a short multiple-choice quiz at the end of each video lesson, with links back to video so you can review key passages and terms.

7 Lessons in Chapter 32: Understanding Transformations in Math
Test your knowledge with a 30-question chapter practice test
Transformations: How to Shift Graphs on a Plane

1. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

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

2. 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.

Reflections in Math: Definition & Overview

3. 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.

How to Graph Reflections Across Axes, the Origin, and Line y=x

4. How to Graph Reflections Across Axes, the Origin, and Line y=x

A graph can be reflected in three ways - across the axes, the origin and the line y = x. There are specific rules to perform each reflection. This lesson will describe those rules and show you how to perform these reflections.

Glide Reflection in Geometry: Definition & Example

5. 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.

Dilation in Math: Definition & Meaning

6. 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.

Transformations in Math: Definition & Graph

7. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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