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8-6 Perimeters and Areas of Similar Figures M11.C.1 2.9.11.G

8-6 Perimeters and Areas of Similar Figures M11.C.1 2.9.11.G. Objectives: To find the perimeters and areas of similar figures. PDN: Pg. 454 #4-6. THEOREM: PERIMETERS AND AREAS OF SIMILAR FIGURES. If the similarity ratio of two similar figures is a/b, then

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8-6 Perimeters and Areas of Similar Figures M11.C.1 2.9.11.G

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  1. 8-6 Perimeters and Areas of Similar FiguresM11.C.1 2.9.11.G Objectives: To find the perimeters and areas of similar figures. PDN: Pg. 454 #4-6

  2. THEOREM: PERIMETERS AND AREAS OF SIMILAR FIGURES • If the similarity ratio of two similar figures is a/b, then • The ratio of their perimeters is a/b and • The ratio of their areas is a²/b²

  3. Example: Two similar polygons • Two similar polygons have corresponding sides in the ratio 4: 8 • Find ratio of perimeters • Find the ratio of their areas

  4. Check Understanding Pg. 455 #1A,B

  5. EXAMPLE • The ratio of the lengths of the corresponding sides of two regular octagons is 8/3. The area of the larger octagon is 320 ft². Find the area of the smaller octagon.

  6. Check Understanding Pg. 455 #2

  7. Example: Finding Similarity & Perimeter Ratios • The areas of two similar pentagons are 32 in² and 72in². What is their similarity ratio? What is the ratio of their perimeters?

  8. Check Understanding Pg. 456 #4

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