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1 Name: Class: Date: geo_unit7_review_mc 1. Find the sum of the measures of the angles of the figure. A B C. 7 D What is the sum of the angle measures of a 25-gon? A B. 43 C D The sum of the angle measures of a polygon with s sides is 34. Find s. A. 21 B. 23 C. 19 D. 4. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth. A. 900 B C D Find the missing values of the variables. The diagram is not to scale. A. x = 96, y = 74 C. x = 74, y = 96 B. x = 74, y = 106 D. x = 106, y = 125 1

2 Name: 6. Find the value of x. The diagram is not to scale. A. 45 B. 55 C. 35 D The sum of the measures of two exterior angles of a triangle is 271. What is the measure of the third exterior angle? A. 89 B. 79 C. 91 D How many sides does a regular polygon have if each exterior angle measures 60? A. 9 sides B. 8 sides C. 5 sides D. 6 sides 9. A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to the length of the model? A. 10 : 7 B. 7 : 1 C. 1 : 7 D. 7 : Red and grey bricks were used to build a decorative wall. The 175 bricks used in all. How many red bricks were used? A. 25 C. 125 B. 35 D. 50 number of red bricks number of grey bricks was 5. There were The measure of two complementary angles are in the ratio 1 : 4. What are the degree measures of the two angles? A. 23 and 68 C. 36 and 144 B. 45 and 135 D. 18 and 72 What is the solution of each proportion? a = A. 30 B. 24 C. 6 D. 10 2

3 Name: 13. Given the proportion a b = 8, what ratio completes the equivalent proportion a 8 =? A. B. b b C. D. 8 a 14. In a scale drawing of the solar system, the scale is 1 mm = 500 km. For a planet with a diameter of 8500 kilometers, what should be the diameter of the drawing of the planet? A millimeters C. 17 millimeters B millimeters D. 170 millimeters Are the polygons similar? If they are, write a similarity statement and give the scale factor. 15. A. ABCD KLMN; 10 : 1.2 C. ABCD KLMN; 5 : 1.2 B. The polygons are not similar. D. ABCD NKLM ; 5 : 3.12 The polygons are similar, but not necessarily drawn to scale. Find the value of x. 16. A. x = 8 C. x = 9 B. x = 11 D. x =

4 Name: 17. Are the triangles similar? How do you know? A. yes, by SAS B. yes, by SSS C. yes, by AA D. no 18. Are the two triangles similar? How do you know? 19. A. no B. yes, by SSS C. yes, by AA D. yes, by SAS State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. A. OMN OJK; SAS C. OMN OJK; SSS B. OMN JKO; SAS D. The triangles are not similar. 4

5 Name:. Use the information in the diagram to determine the height of the tree to the nearest foot. A. 80 ft B. 264 ft C. 60 ft D. 72 ft 5

6 ID: A geo_unit7_review_mc Answer Section 1. ANS: C REF: 6-1 The Polygon Angle-Sum Theorems 2. ANS: A REF: 6-1 The Polygon Angle-Sum Theorems 3. ANS: A REF: 6-1 The Polygon Angle-Sum Theorems 4. ANS: B REF: 6-1 The Polygon Angle-Sum Theorems 5. ANS: A REF: 6-1 The Polygon Angle-Sum Theorems 6. ANS: A REF: 6-1 The Polygon Angle-Sum Theorems 7. ANS: A REF: 6-1 The Polygon Angle-Sum Theorems OBJ: To find the sum of the measures of the exterior angles of a polygon 8. ANS: D REF: 6-1 The Polygon Angle-Sum Theorems OBJ: To find the sum of the measures of the exterior angles of a polygon 9. ANS: C REF: 7-1 Ratios and Proportions 10. ANS: C REF: 7-1 Ratios and Proportions 11. ANS: D REF: 7-1 Ratios and Proportions 12. ANS: C REF: 7-1 Ratios and Proportions 13. ANS: B REF: 7-1 Ratios and Proportions 14. ANS: C REF: 7-2 Similar Polygons OBJ: To identify and apply similar polygons 15. ANS: B REF: 7-2 Similar Polygons OBJ: To identify and apply similar polygons 16. ANS: C REF: 7-2 Similar Polygons OBJ: To identify and apply similar polygons 17. ANS: D REF: 7-3 Proving Triangles Similar OBJ: To use the AA Postulate and the SAS and SSS theorems 18. ANS: C REF: 7-3 Proving Triangles Similar OBJ: To use the AA Postulate and the SAS and SSS theorems 19. ANS: A REF: 7-3 Proving Triangles Similar OBJ: To use the AA Postulate and the SAS and SSS theorems. ANS: A REF: 7-3 Proving Triangles Similar OBJ: To use similarity to find indirect measurements 1

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