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“P. Sherman, 42 Wallaby Way, Sydney!”. 7.2 Similar Polygons. Similarity. F. G. ABCD ~ EFGH. B. C. 5in. 3in. 72°. E. H. D. A. 6in. Similar Polygons: Polygons having corresponding angles congruent and corresponding sides proportional (denoted “~”).

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“P. Sherman, 42 Wallaby Way, Sydney!”

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“P. Sherman, 42 Wallaby Way, Sydney!”


7.2 Similar

Polygons


Similarity

F

G

ABCD ~ EFGH

B

C

5in

3in

72°

E

H

D

A

6in

Similar Polygons: Polygons having corresponding angles congruent and corresponding sides proportional (denoted “~”).

Similarity Ratio: The ratio of the lengths of corresponding sides in similar polygons.


Similarity

Given LONM ~ QTSR below, find the value of x.


Similarity

Determine whether the triangles are similar. If they are, write a similarity statement and give the similarity ratio.

E

B

78°

20

16

15

12

78°

35°

67°

D

F

A

C

24

18


Golden Ratio

GOLDEN RECTANGLE ACTIVITY!!!!


Golden Ratio

Golden Rectangle: A rectangle that can be divided into a square and a rectangle that is similar to the original rectangle. The Golden Ratio is ≈ 1.618

An artist plans to paint a picture. He wants the canvas to be a golden rectangle with its longer horizontal sides 30cm wide. How high should the canvas be?


“Onions have layers.”


7.2 Similar

Polygons

HW 7.2: #2-12 even, 13-16,

21-28, 32-35

THT: #1-4, 16, 18-25


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