1. Unit 1 Transformations Day 5

2.  Similar Polygons - Two figures that have the same shape but not necessarily the same size ◦ Symbol: ~ ◦ Similar Polygons are created by Dilations (remember from Friday!)

3.  Two polygons are similar if and only if: 1.Corresponding angles are congruent AND 2.Corresponding sides are proportional

4.  Create fractions using corresponding sides and see if each fraction is equal.

5. If Step 1 & 2 are TRUE, then the figures are similar!

6.  The ratio of the lengths of corresponding sides is the Similarity Ratio ◦ The Similarity Ratio compares one object to another What is the similarity ratio? 155

7. 1. Find the similarity Ratio of 2) Solve for the value of x. 3) Solve for m<J 4) Solve for m<K 5) Write a similarity statement for these two triangles.

8. 3 ways to prove Triangles are Similar: 1. AA ~ If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar Similarity Statement:

9. If 2 sides of a triangle are proportional to two sides of another triangle AND the included (in between) angles are congruent, then the triangles are similar. Similarity Statement:

10. If all 3 corresponding sides of two triangles are proportional, then the triangles are similar Similarity Statement:

11.  For each of the following, explain why the triangles are similar (or why not) and write a similarity statement if they are similar.