Honors Geometry Companion Book, Volume 2

7.1.2 Ratios in Similar Polygons - Worksheet

Example 1: Identify the pairs of congruent angles and corresponding sides. 1. 2.

P 3 2 4

J

M

N

A

12

97°

6

W

8

8

H

K

4

6

4 4 97° 97°

D

B

97°

6

12

V

U

8

C

L

Example 2: Determine whether the polygons are similar. If so, write the similarity ratio and a similarity statement. 3. rectangles ABCD and EFGH A B 135 4. △ RMP and △ UWX M W

12

90

E

F

8

X

45

30

R

H

G

10

15

6

D

C

4

P

U

Example 3: 5.  The town of Goodland, Kansas, claims that it has one of the worldʼs largest easels. It holds an enlargement of a van Gogh painting that is 24 ft wide. The original painting is 58 cm wide and 73 cm tall. If the reproduction is similar to the original, what is the height of the reproduction to the nearest foot?

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