7.2 similar polygons. similar polygons in geometry, two figures that have the same shape are called...
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7.2 Similar Polygons
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Similar Polygons
In geometry, two figures that have the same shape are called similar.
Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional.
A
B
C
D
F G
E H
ABCD ~ FEGH
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R
P Q
2010
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T
S U
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8
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•PRQ ~ STU•List all pairs of congruent angles•Write the ratios of the corresponding sides in a statement of proportionality•Check that the ratios of corresponding sides are equal
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Theorem 7.1 Perimeters of Similar Polygons If two polygons are similar, then the ratio of
their perimeters is equal to the ratio of their corresponding side lengths.
A
C B
D
F E
IF ABC ~ DEF, then DE + EF + FD = DE = EF = FD AB + BC + CA AB BC CA