# Ch 34: FTCE Middle Grades Math: Transformations in Geometry

### About This Chapter

## FTCE Middle Grades Math: Transformations in Geometry - Chapter Summary

View our video lessons to pick up skills that help you solve transformation in geometry problems. These topics, which will be addressed on the FTCE Middle Grades Math exam, are covered in this chapter:

- Transformations and translations in math
- Dilations and rotations
- Definition and examples of rotational symmetry
- Reflections in math
- Glide reflection
- Recognizing symmetry graphically

Instructors guide you through transformation and translation material, getting you ready quickly for the exam. Each one of our video lessons is short and contains video tags. Use these tags to scroll to certain parts of a lesson so you can refresh your mind on a math principle or topic.

### 1. 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.

### 2. Reflection, Rotation & Translation

This lesson will define reflection, rotation, and translation as they relate to math. It will also show you an example of each one so that you can perform these transformations on your own.

### 3. 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.

### 4. 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.

### 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.

### 6. Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

When you fold a piece of paper exactly in half, you are creating symmetry. Symmetry is found in many areas of mathematics. In this lesson, learn to recognize symmetry graphically, algebraically, and numerically about the x- and y- axes.

### 7. Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

If you look at flowers and fruits, you'll see that many of these items in nature are symmetrical. In this lesson, learn about symmetry about the origin of a graph. When you are finished, test your knowledge with a short quiz!

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### Other Chapters

Other chapters within the FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide course

- About the FTCE Middle Grades Mathematics Test
- FTCE Middle Grades Math: Mathematical Reasoning
- FTCE Middle Grades Math: Problem-Solving Strategies
- FTCE Middle Grades Math: The Real Number System
- FTCE Middle Grades Math: Fractions, Decimals & Percents
- FTCE Middle Grades Math: Ratios & Proportions
- FTCE Middle Grades Math: Factoring
- FTCE Middle Grades Math: Solving Word Problems
- FTCE Middle Grades Math: Exponents & Exponential Expressions
- FTCE Middle Grades Math: Basic Algebraic Expressions
- FTCE Middle Grades Math: Distributing in Algebra
- FTCE Middle Grades Math: Rational Expressions
- FTCE Middle Grades Math: Square Roots
- FTCE Middle Grades Math: Radical Expressions
- FTCE Middle Grades Math: Linear Equations
- FTCE Middle Grades Math: Systems of Linear Equations
- FTCE Middle Grades Math: Solving & Graphing Inequalities
- FTCE Middle Grades Math: Introduction to Functions
- FTCE Middle Grades Math: Graphing Functions
- FTCE Middle Grades Math: Quadratic Functions
- FTCE Middle Grades Math: Polynomial Functions
- FTCE Middle Grades Math: Summarizing Data
- FTCE Middle Grades Math: Charting Data
- FTCE Middle Grades Math: Sampling
- FTCE Middle Grades Math: Probability Distributions
- FTCE Middle Grades Math: Lines & Angles
- FTCE Middle Grades Math: Properties of Triangles
- FTCE Middle Grades Math: Similar & Congruent Triangle Proofs
- FTCE Middle Grades Math: Right Triangle Proofs
- FTCE Middle Grades Math: Quadrilaterals & Polygons
- FTCE Middle Grades Math: Area & Perimeter
- FTCE Middle Grades Math: Circles & Arc of a Circle
- FTCE Middle Grades Math: Coordinate Geometry
- FTCE Middle Grades Math: Principles of Measurement
- FTCE Middle Grades Math: Surface Area & Volume
- FTCE Middle Grades Math: Connecting Math Concepts
- FTCE Middle Grades Math: Instructional Strategies & Tools
- FTCE Middle Grades Math: Assessing Student Learning
- FTCE Middle Grades Mathematics 5-9 Flashcards