Geometry Assessment - Chapter 7 (Sections ) * Required

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1 Geometry Assessment - Chapter 7 (Sections ) * Required Page 1 - Find ratios and make predictions as indicated In Mr. Davis's geometry class, there are 15 girls and 10 boys. Find the ratio of girls to boys. * 15:10 10:15 3:2 2:3 15:25 3: Of the movies Sally went to last year, 10 were comedies and 2 were dramas. Find the ratio of comedies to dramas. * 5 5: 1 1:5 10:2 2: On the floor plan for a building, 1 inch represents 20 feet. If the dimensions of a room on the plan are 7/8 inch by 1 1/4 inches, what are the actual dimensions of the room? * 16 ft x 28 ft 15.5 ft x 25 ft 17.5 ft x 25 ft 18 ft x 21.5 ft 19 ft x 28 ft Page 2 - Solve each proportion listed /12

2 4. * x = - 3 x = x = - 5 x = x = * x = 10 x = 8 x = 6 x = 4 x = * Check all the correct answers Check all that apply. k = - 6 k = 2 k = 33 k = 5 k = 4 Page 3 - Set up equations and solve. 2/12

3 7. 7. The ratio of the measures of three sides of a triangle is 5:9:12 and the perimeter is 182 inches. What is the measure of the longest side of the triangle? * 15 1/ In a triangle, the ratio of the measures of three sides is 4:5:8 and its perimeter is 204 inches. Find the measure of the longest side of the triangle. * The ratio of the measures of the three angles is 5:7:8. Find the measure of the smallest angle of the triangle. * Page 4 - Determine if each pair of figures is similar. List the similarity statement /12

4 10. * Not similar Similar, ABC ~ DEF Similar, ABC ~ FED Similar, ACB ~ DEF * Not similar Similar, LMK ~ FEG Similar, LMK ~ FGE Similar, MLK ~ GEF Page 5 - Determine if triangles are similar. Then, list the similarity postulate or theorem /12

5 12. * Not similar. Similar, AA~ Similar SAS~ Similar SSS~ Similai AAS~ * Not similar. Similar, AA~ Similar, SAS~ Similar, SSS~ Similar, AAS~ /12

6 14. * Not similar. Similar, AA~ Similar SAS~ Similar, SSS~ Similar AAS~ /12

7 15. * Not similar. Similar, AA~ Similar, SAS~ Similar SSS~ Similar AAS~ Page 6 - Use similarity proportions and additional laws of Chapter 7 to solve for unknown parts of triangles. Solve for x and y, as indicated. 16. If RU = 8, US = 14, TV = x 1, and VS = 17.5, find x and TV. 16. * x = 11, TV = 10 x = 12, TV = 11 x = 14, TV = 13 x = 15, TV = 14 x = 16, TV = /12

8 17. * Can not be determined. x = 5, y = 7.5 x = 6, y = 6.5 x = 4, y = 6.5 x = 3, y = * x = 17.5 x = 26 x = 40 x = /12

9 19. * x = 6, y = 12 x = 5, y = 10 x = 4, y = 8 x = 2, y = 4 x = 1, y = * x = 4.5, y = 13 x = 10, y = 7.5 x = 12, y = 6.5 x = 15, y = 4 x = 16, y = /12

10 21. * x = 10 x = 10.7 x = 12 x = 14 x = /12

11 22. * x = 3 x = 12 x = 18 x = 36 x = When looking at two similar triangles, the lengths of corresponding parts listed below are proportional to the corresponding sides in all of the following EXCEPT: * medians altitudes angle bisectors perpendicular bisectors All of these are proportional to the lengths of the corresponding sides There are three triangle similarity postulates/theorems. Which one is NOT a true similarity postulate/theorem? * AA ASA similarity SAS similarity SSS similarity In the proportion above, which two values are the means? * x and y m and n x and n y and m x and m y and n Other: 11/12

12 26. First Name 27. Last Name Powered by 12/12

Geometry Formative Assessment for Chapter 7 (Sections ) * Required

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