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7 3 Similar Polygons
 

7 3 Similar Polygons

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    7 3 Similar Polygons 7 3 Similar Polygons Presentation Transcript

    • Ratio, Proportion, and Similarity 7-3 Similar Polygons
    • Similar Polygons
      • Two polygons are similar if their vertices can be paired so that:
        • Corresponding angles are congruent
        • Corresponding sides are in proportion
    • 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
    • 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
    • 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
    • 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
    • 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
    • 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
    • SPICSA
      • Page 250 2-22 even