1. Ratios in Similar Polygons
Essential Question: How will I determine if polygons are similar and use the properties of similar polygons to solve problems?

2. Definition Similar polygons:
are polygons that have the same shape but not necessarily the same size.
Similar Polygons
Definition
Corresponding angles are congruent.
Corresponding sides are proportional.
similar (~)

3. Identify the pairs of congruent angles and corresponding sides.
A  Q, B  R,
C  S, and D  T
J  M, K N, L  P
JK KL LJ
MN, NP, PM
AB BC CD DA
QR, RS, ST, TQ
Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement.
5 Or .33 15
10 or .667 15
or .667
25.5
12 or 18
8 Or .33 24

4. You can use properties of similar polygons to solve problems.