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Perimeter and Area of Similar Figures

Explore the concept of similar figures, corresponding sides, and angles to find perimeters and areas in this educational section. Learn how perimeters and areas scale with similarities.

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Perimeter and Area of Similar Figures

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  1. Perimeter and Area of Similar Figures Sec 5. 3-B pg. 299 - 302

  2. Similar Figures 5 49 10 49 3 41 90 6 Z 90 41 4 8 A X Corresponding Sides – AB and XY, BC and YZ, and AC and XZ are sides that are in the same relative position. Corresponding sides are in proportion. Y B C Corresponding Angles - A and X, B and Y and C and  Z are angles that are in the same relative position. Corresponding angles are congruent.

  3. Similar Figures – Find Perimeter , so 3 6 Z A X Given the perimeter of Triangle XYZ is 12, what is the perimeter of Triangle ABC? 3PABC = (6)(12) Perimeters of similar figures are proportional Y B C PABC = 24

  4. GIVEN SIMILAR FIGURES, find area. Pentagon ABCDE is similar to Pentagon PQRST. Find the area of Pentagon ABCDE if the area of Pentagon PQRST is 20 square inches. P A 2 6 Q T = 20 in.2 * 9 B E S R = 180 in.2 Areas of similar figures are proportional to the square of the scale factor. C D 32 = 9

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