University:
High School
Course:
High School Mathematics
Academic year:

2020
Views:

46

Pages:

2
Author:

Logan L

Similar Polygons In your own words, write the meaning of each vocabulary term. similar figures Core Concepts Corresponding Parts of Similar Polygons In the diagram below, [MBCis similar to WEF} You can write "MBCis similar to WEF" as [MBC"' WEF] A similarity transformation preserves angle measure. So, corresponding angles are congruent. A similarity transformation also enlarges or reduces side lengths by a scale factor k. So, corresponding side lengths are proportional. Ratios of corresponding side lengths Corresponding angles c. C b A F kb Corresponding Lengths in Similar Polygons If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is equal to the scale factor of the similar polygons. Theorem 8.1 Perimeters of Similar Polygons If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths. If KLMN "' PQRS, then SP PQ + QR + RS + SP =-=--=--=RS PQ QR LM KL KL + LM + MN + NK MN NK {y\eo.,r,i,� Theorem 8.2 4 ['\_..-� �,Je. --- : i-�, si:1,1( k1 '?ec·11•·e4'r 1 I Areas of Similar Polygons If two polygons are similar, then the ratio of their areas is equal to the squares of the ratios of their corresponding side lengths. If KLMN "' PQRS, then Area of PQRS AreaofKLMN D