7 3 Similar Polygons
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Two polygons are similar if their corresponding angles are congruent and their corresponding sides are proportional. If the corresponding angles of two polygons are congruent, the polygons must be similar. However, if the corresponding sides are proportional, the polygons do not necessarily have to be similar. While similar polygons have proportional sides and congruent angles, congruent polygons are always similar but not vice versa. All regular pentagons are similar since their corresponding angles and sides will always be congruent and proportional respectively.
7 3 Similar Polygons
- 1. Ratio, Proportion, and Similarity 7-3 Similar Polygons
- 2. Similar Polygons Two polygons are similar if their vertices can be paired so that: Corresponding angles are congruent Corresponding sides are in proportion
- 3. If these triangles are similar, what is AB? 6 8 10 12 14 A C B E F D 12 30 21 ? 20 14 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
- 4. If the corresponding angles of two polygons are congruent, must the polygons be similar? Yes No 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0
- 5. If the corresponding sides of two polygons are in proportion, must the polygons be similar? Yes No 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
- 6. Two polygons are similar. Do they have to be congruent? Yes No 9 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
- 7. Two polygons are congruent. Do they have to be similar? Yes No 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
- 8. Are all regular pentagons similar? Yes No 0 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1
- 9. SPICSA Page 250 2-22 even