# Ch 9: Explorations in Core Math Geometry Chapter 9: Extending Transformational Geometry

### About This Chapter

## How It Works:

- Find the lesson within this chapter that corresponds to what you're studying in the Extending Transformational Geometry chapter of your textbook.
- Watch fun videos that cover the transformational geometry concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.

## Chapter Topics

You'll learn all of the geometry topics covered in the textbook chapter, including:

- The definitions of reflections, translations and rotations in math
- Performing compositions
- Identifying the line of symmetry
- Defining rotational symmetry
- What tessellation is
- How to construct a dilation image

*Explorations in Core Math is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.*

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

When an object is reflected in math, it is flipped across a line. Explore the definition of reflections, what transformations are, how to draw reflections, and the overview of reflections in this lesson.

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

An object may be relocated in a coordinate plane by changing the coordinates of the points in an object while retaining the original shape of the object. Learn about the process of translation in mathematics and how it is done on geometric shapes and figures.

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

In mathematics, rotations occur when geometric figures move clockwise or counterclockwise around a specific point. Learn the definition and explore an overview of math rotations, which are one of four types of geometric transformations, including translation, reflection, and dilation.

### 4. Identifying the Line of Symmetry: Definition & Examples

The line of symmetry, or the invisible line in the center of a shape or line, can be identified algebraically or graphically. Discover more about the line of symmetry, including how to find it using a graph, using a formula, and some examples of them.

### 5. What is Rotational Symmetry? - Definition & Examples

Rotational symmetry is an attribute that is present in most symbols and icons in everyday life. Explore the definition and aspects of rotational symmetry, the center of an object, the order of symmetry, the degree of rotation, and some examples.

### 6. Tessellation: Definition & Examples

In this lesson you will learn what a tessellation is and how to determine whether or not a pattern is a tessellation. After looking at some examples, you can take a brief quiz to see what you learned.

### 7. Constructing a Dilation Image

In this lesson, you'll learn how to use a compass and straightedge to dilate an image from a given point. It includes some easy-to-follow images so you'll know just how to complete the constructions.

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### Other Chapters

Other chapters within the Explorations in Core Math - Geometry: Online Textbook Help course

- Explorations in Core Math Geometry Chapter 1: Foundations for Geometry
- Explorations in Core Math Geometry Chapter 2: Geometric Reasoning
- Explorations in Core Math Geometry Chapter 3: Parallel and Perpendicular Lines
- Explorations in Core Math Geometry Chapter 4: Triangle Congruence
- Explorations in Core Math Geometry Chapter 5: Properties and Attributes of Triangles
- Explorations in Core Math Geometry Chapter 6: Polygons and Quadrilaterals
- Explorations in Core Math Geometry Chapter 7: Similarity
- Explorations in Core Math Geometry Chapter 8: Right Triangles and Trigonometry
- Explorations in Core Math Geometry Chapter 10: Extending Perimeter, Circumference and Area
- Explorations in Core Math Geometry Chapter 11: Spatial Reasoning
- Explorations in Core Math Geometry Chapter 12: Circles
- Explorations in Core Math Geometry Chapter 13: Probablity