In this chapter, you will learn:
- Transform shapes by flipping, turning, and sliding them on a coordinate graph.
- Describe movement on a graph using coordinates and expressions.
- Compare shapes and use similarity to find missing side lengths of polygons, especially triangles.
Different Types of Transformations:
Rigid Transformations
Dilation: |
Khan Academy:
Introduction to Transformations |
Scale Factor:
- A scale factor is a ratio that describes how two quantities or lengths are related. A scale factor that describes how two similar shapes are related can be found by writing a ratio between any pair of corresponding sides as .
- For example, the two similar triangles at right are related by a scale factor of because the side lengths of the new triangle can be found by multiplying the corresponding side lengths of the original triangle by .
- A scale factor greater than one enlarges a shape (makes it larger). A scale factor between zero and one reduces a shape (makes it smaller). If a scale factor is equal to one, the two similar shapes are identical and are called congruent.