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Published byCornelius Ferdinand Allison Modified over 8 years ago
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1 10/16/12 Triangles Unit Similar Polygons
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2 Definition:Two polygons are similar if: 1. Corresponding angles are congruent. 2. Corresponding sides are in the same ratio. The scale factor is the ratio between a pair of corresponding sides. Scale Factor: Two polygons are similar if they have the same shape not necessarily have the same size.
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3 Naming Similar Polygons When naming similar polygons, the vertices (angles, sides) must be named in the corresponding order. AB CD PQ R S
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4 Example- The two polygons are similar. Solve for x, y and z. Step 3: Find the scale factor between the two polygons. Note: The scale factor has the larger quadrilateral in the numerator and the smaller quadrilateral in the denominator. Step1: Write the proportion of the sides. Step 2: Replace the proportion with values. Step 4: Write separate proportions for each missing side and solve. 5 z x 10 y 15 30 20 B C A D F G E H
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5 Scale factor is same as the ratio of the sides. Always put the first polygon mentioned in the numerator. Example: What is the scale factor from ZYX to ABC? The scale factor from ABC to ZYX is 2/1. If ABC ~ ZYX, find the scale factor from ABC to ZYX. 7 9 5 18 10 14 C A B Z Y X ½
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