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8.3. Similar Polygons. IDENTIFYING SIMILAR POLYGONS. 1. GOAL. EXAMPLE 1. VOCABULARY similar polygons scale factor. B. C. Q. R. P. S. A. D. Extra Example 1.
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8.3 Similar Polygons IDENTIFYING SIMILAR POLYGONS 1 GOAL EXAMPLE 1 • VOCABULARY • similar polygons • scale factor
B C Q R P S A D Extra Example 1 Trapezoid ABCD is similar to trapezoid PQRS. List all the pairs of congruent angles, and write the ratios of the corresponding sides in a statement of proportionality.
Extra Example 2 Decide whether the figures are similar. If they are, write the similarity statement.
6 in x 1.5 in 4 in Extra Example 3 You have a photo 4 in. wide by 6 in. long that you want to reduce to fit in a frame that is 1.5 in. wide. How long will the reduced photo be?
Extra Example 4 A painting is similar to the wall on which it is hanging. Calculate the scale factor of the wall to the painting and find the ratio of their perimeters.
6 1.5 Checkpoint Verify that these two pentagons are similar. Then find the ratio of their perimeters.
8.3 Similar Polygons USING SIMILAR POLYGONS IN REAL LIFE 2 GOAL
y C D 12 E F 24 15 B G A Extra Example 5 Parallelogram ABCD is similar to parallelogram GBEF. Find the value of y.
Checkpoint ΔUVW is similar to ΔYXW. Find the value of a.