Formal Geometry 11.3 Assignment Name FINDING RATIOS Complete the table of ratios for similar polygons. 1. Ratio of corresponding side lengths Ratio of Perimeters Ratio of areas 6:11 20:36 Ratios and Areas Corresponding lengths in similar figures are given. Find the ratios (small to large) of the perimeters and areas. Find the unknown area. 2. Perimeter Ratio = Area Ratio = , Area = A = 2ft2 6 ft 2 ft 3. Perimeter Ratio = Area Ratio = Area = A = 240 cm2 15 cm 20 cm 4. Perimeter Ratio = Area Ratio = Area = A = 210 in.2 7 in. 9 in.5. Perimeter Ratio = Area Ratio = Area = A = 40 yd2 5 yd 3 yd FINDING LENGTH RATIOS The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides. 6. Ratio of areas = 49:16 7. Ratio of areas = 16:121 8. Ratio of areas = 121:144 9. MULTIPLE CHOICE The area of ALMN is 18 ft and the area of AFGHis 24ft2. If ALMN ~FGHwat is the ratio of LM to FG? a. 3:4 b. 9:16 C. V3:2 d. 4:3 FINDING SIDE LENGTHS Use the given area to find XY. 10. ADEF ~AXYZ D 4cm E X y A = 7 cm2 Z' A = 28 cm211. UVWXY ~ALMNPQ A = 198 in.2 A = 88 in.2 W M IN P X 10 in. Q Find the circumference of the circle with the given radius r or diameter d. Leave your answer in it form. 12. d = 10 ft 13. r = 2.5 yd Find the value of x. 14. (p. 295) 10 15. (p. 672) to 850 16. (p. 680) 180 880 to