1. Objectives: To identify similar polygons To apply similar polygons
8-2 Similar Polygons M11.C A
Objectives:
To identify similar polygons
To apply similar polygons

2. Vocabulary
Two figures that have the same shape but not necessarily the same size are similar Symbol: ~
Two polygons are similar if corresponding angles are congruent and corresponding sides are proportional.
The ratio of the lengths of corresponding sides is called the similarity ratio.

3. Understanding Similarity
△ABC ~△XYZ
Complete:

4. Determining Similarity
Determine whether the
parallelograms are similar.
Explain.

5. Using Similar Figures
If ABCD ~ EFGH, find the value of x.

6. Using Similar Figures
If △ABC ~△XYZ, find the value of x and y.

7. Examples: Real World Connections
A painting is 24 in by 36 in. The length of a postcard reduction of the painting is 6 in. How wide is the postcard?