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12.3 Similar Polygons
Two polygons are similar if:
1. all pairs of corresponding angles are congruent
2. the ratios of the lengths of all pairs of corresponding sides are equal
Same SHAPE and congruent ANGLES
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Ratio of Similtude (constant of proportionality)
­ ratio of the lengths of corresponding sides of similar polygons
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What is the ratio of the lengths of corresponding sides of two congruent polygons?
Are all congruent polygons similar?
Are all similar polygons congruent?
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The sides of a triangle measure 4,9, and 11. If the shortest side of a similar triangle measures 12, find the measures of the remaining sides of this triangle.
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The sides of a quadrilateral measure 12,18,20 and 16. The longest side of a similar quadrilateral measures 5. Find the measures of the remaining sides of this quadrilateral.
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Homework:
Packet #1: pg 298‐299 #1,3,5,6,8,19,22
pg 302‐303 #2,4,5,6,13,14
Packet #2: pg 260 #1,5,7
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