8.2: Similar Polygons

Objective:To identify and apply similar polygons

Similar Polygons (~)

Same shape but not necessarily the same size

Two Polygons are similar if:1. Corresponding angles are congruent2. Corresponding sides are proportional

Similarity Ratio: ratio of the corresponding sides of similar figures

Determining Similarity and Writing Similarity Ratios

corresponds to: corresponds to:

corresponds to:

Corresponding Angles are congruentSimilarity ratio: Similarity statement:

A F

B

C

E

D

1512

18

20

24

16

AB

AC

BC

FE

ABFD

ACED

BC

ABCD ~ EFGH (this is called a similarity statement)

A

B C

D E

F G

H

53°

127°6

8

6

8

3 3

4

4

Find the following:1. m E 3.

2.m B 4. Similarity Ratio=

AD

EF

AB

Using Similar Figures

LMNO ~ QRSTFind x and y:

L M

O N

T S

Q R

2

6

3.2

x

5

y