NAME ______DATE______PERIOD ______

Chapter 7 Review SCORE ______

Write the letter for the correct answer in the blank at the right of each question.

1. There are 15 plums and 9 apples in a fruit bowl. What is the ratio of apples 8. Quadrilateral to plums? A 3:5 B 3:8 C 5:3 D 8:3 ABCD ∼ 2. The scale drawing of a porch is 8 inches wide by 12 inches long. If the actual porch is 12 feet wide, what is the length of the porch? quadrilateral F 8 ft G 10 ft H 16 ft J 18 EFGH. ft Find the value of x. 3. Solve = . F 15 A 4.6 B 4.8 C 5 D 7 H 25 4. Two of the bulbs in a sample of 30 were defective. If the sample was G 20 representative, find the number of bulbs expected to be defective in a case of 450. J 30 F 24 G 30 H 36 J 45 9. Which theorem or postulate can be used to prove 5. Find the triangle similar to △ABC at the right. that these two triangles are A C similar? A AA Similarity

C SSA B D Similarity B SAS Similarity

D SSS Similarity

6. Find the value of x if △ABC ∼ △JKL. 10. Find MN. F 5 G 6

F 10 H 25 H 7 G 14 J 29 J 12

7. Quadrilateral ABCD ∼ quadrilateral PQRS. If AB = 10, BC = 6, PS = 12,

and QR = 4, find the scale factor of ABCD to PQRS. A B C D

Chapter 7 56 Glencoe Geometry NAME ______DATE______PERIOD ______

1. ______6. ______

2. ______7. ______3. ______

4. ______8. ______

9. 5. ______

10. ______

Chapter 10 2 Glencoe Algebra 2 NAME ______DATE______PERIOD ______

Chapter 7 Review (continued)

11. A 5-foot tall student cast a 4-foot shadow. If the tree next to her cast a 44- 19. Nathan is foot building a model shadow, what is the height of the tree? of his father’s A 35 ft B 45 ft C 51 ft D 55 ft sailboat with a scale factor of . The actual sail is in 12. In △ABC, ║ . If AD = 12, BD = 3, the shape of a right triangle with a base of 8 and CE = 10, find BE. meters and a F 1 H 2 hypotenuse of 13 G 1 J 2 meters. What will be the 13. What is the scale factor of the dilation of A to B? approximate A 1 C 2 perimeter of the B D 6 sail on the model boat? A 32 cm B 48.81 cm C 14. △FGH ∼ △PQR, FG = 6, PQ = 10, and the perimeter of △PQR is 35. What 65.62 cm D 97.65 cm

is the perimeter of △FGH? Bonus In △ABC, F 21 G 27 H 31 J 58 AB = 10, BC = 16, 15. Find the value of x. A 14 C 16 ⊥ , and DE B 15 D 18 = 6. Find CD.

16. △LMN ∼ △XYZ with altitudes and . Find KL.

F 6 H 9 G 7 J 19

17. Find the value of x. A 5 C 6 B 6 D 7

18. Find the value of x. F 16 H 20 G 18 J 21

Chapter 7 56 Glencoe Geometry NAME ______DATE______PERIOD ______16. 11. ______

17. 12. ______

13. ______18. ______

14. ______19. ______

15. ______

B: ______

Chapter 10 2 Glencoe Algebra 2