About This Chapter
How it works:
- Identify the lessons in Glencoe Geometry's Transformations chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the transformations topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, re-watch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Lines and points of symmetry
- Graph reflections
- Graph rotations
- Graph translations
- Rotational symmetry
- Dilations of geometric figures
- Vector magnitude and direction
- Resultants and scalars
- Transformations with matrices
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1. 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.
2. Identifying the Line of Symmetry: Definition & Examples
Symmetry can occur in many different ways in mathematics. In this lesson, learn how to identify unique forms of symmetry by finding the line of symmetry.
3. Point Symmetry: Definition & Examples
Symmetry is a common occurrence and concept of nature and life. In this lesson, we will look particularly at the characteristics of objects that have point symmetry.
4. 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.
5. Graphing Translations & Finding a Set of Coordinates
In this lesson, you're going to learn how to translate figures by counting boxes, find the coordinates of points, and learn how to translate a figure more quickly using simple math.
6. 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.
7. 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.
8. Using Symmetry to Describe Tessellations
Tessellations are a very common way for geometric concepts to be applied in the real world. In this lesson, we'll look at how to use symmetry to help describe different types of tessellations.
9. 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.
10. Graphing Vectors in Math: Magnitude & Direction
Vectors are some of the most useful parts of math, but their usefulness is only apparent if you know how to graph them. In this lesson, we learn how to graph vectors with respect to both magnitude and direction.
11. Vectors in Math: Addition, Subtraction, Division & Multiplication
From airplanes to walking in a straight line, vectors are everywhere. In this lesson, we're going to learn how to add, subtract, multiply, and divide vectors helping us make more sense of them.
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Other chapters within the Glencoe Geometry: Online Textbook Help course
- Glencoe Geometry Chapter 1: Points, Lines, Planes, and Angles
- Glencoe Geometry Chapter 2: Reasoning and Proof
- Glencoe Geometry Chapter 3: Parallel and Perpendicular Lines
- Glencoe Geometry Chapter 4: Congruent Triangles
- Glencoe Geometry Chapter 5: Relationships in Triangles
- Glencoe Geometry Chapter 6: Proportions and Similarity
- Glencoe Geometry Chapter 7: Right Triangles and Trigonometry
- Glencoe Geometry Chapter 8: Quadrilaterals
- Glencoe Geometry Chapter 10: Circles
- Glencoe Geometry Chapter 11: Area and Volume
- Glencoe Geometry Chapter 12: Surface Area
- Glencoe Geometry Chapter 13: Volume