GEOMETRY CHAPTER 8 TEST
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1 GEOMETRY CHAPTER 8 TEST NAME BLOCK DATE I,, hereby affirm that I neither gave nor received any help on this test. Furthermore, I used no sources of information to answer questions other than those explicitly approved by my teacher. ANSWER ALL QUESTIONS COMPLETELY AND THOROUGHLY. WORK MUST BE SHOWN FOR ALL PROBLEMS IN ORDER TO RECEIVE CREDIT. ANSWER ONLY IN THE BLANK. I. Multiple Choice. Answer only in the blank. 1. Find the ratio of 4 hours to 30 minutes. 1. A. 4:1 B. 8:1 C. 2:15 D. 1: If 5 3, then x. x 4 x A. 3 B. -2 C. 12 D One way to show that two triangles are similar is to show that 3. A. a side of one is congruent to a side of another B. an angle of one is congruent to an angle of the other C. two angles of one are congruent to two angles of the other D. two sides of one are proportional to two sides of the other 4. A worker in an assembly line takes 7 hours to produce 23 parts. At that rate, how many 4. parts can she produce in 35 hours? A. 4 parts B. 230 parts C. 115 parts D. 805 parts 5. Find the value of x to one decimal place. 5. A. 4.5 B. 5.8 C. 2.1 D Which triangle is not similar to any of the others? 6. A. B. C. D. 7. If two polygons are SIMILAR, then the corresponding angles must be. 7. A. similar B. congruent C. parallel D. proportional
2 GEOMETRY, TEST EIGHT, PAGE TWO I (cont.) Multiple Choice. Answer only in the blank. 8. Shown below is an example of the. 8. A. ASA Congruence Theorem B. AA Similarity Postulate C. SSS Similarity Theorem D. SAS Similarity Theorem 9. Are the two polygons similar? (They are not drawn to scale, but assume all angles are 90º.) 9. If not, explain why. A. Yes B. No; C. No; D. Not enough information to tell 10. Which image does not show a dilation? 10. A. B. C. D. 11. In the figure, PQ 36 cm, ST 9 cm, and m QRP 68. Find m S. A. 22º B. 88º C. 68º D. 112º Two ladders are leaning against a wall at the same angle as shown. 12. How far up the wall does the shorter ladder reach? A. 12 feet B. 14 feet C. 28 feet D. 10 feet
3 NAME GEOMETRY, T8, PAGE 3 I (cont.) Multiple Choice. Answer only in the blank. 13. Mrs. Greenwood s class is attended by 15 boys and 12 girls. What is the ratio of 13. boys to students in the class as a fraction in lowest terms. A B C D There is a law stating that The ratio of the width to length for the American flag 14. should be 10:19. Which of the following flag measurements is in the correct ratio? A feet B feet C feet D feet 15. At the same time of day, a man who is 81.6 inches tall casts a 49.6-inch shadow 15. and his son casts a 31-inch shadow. What is the height of the man s son? A inches B inches C. 51 inches D. 123 inches 16. Given: PQ BC. What is the length of AB? 16. A. 18 B. 14 C. 6 D. 11
4 GEOMETRY, T8,P4 NAME I (cont.) Multiple Choice. Answer only in the blank. 17. What value of x (to 2 decimal places) will make the two triangles similar? 17. A B C D The ratios of the side lengths of ABC are 7:9:12 ( AB : AC : BC ). What is x? 18. A B C D Write the ratio of consonants to vowels in BOSTON REDSOX in lowest terms. 19. A. 8:4 B. 4:8 C. 2:1 D. 1:2 20. is mapped to ' ' ' DB ' 4 If, then A ' B ' C ' is than ABC. DB 3 A. smaller B. larger C. same size D. relationship cannot be determined ABC A B C by a dilation at D. Complete the statement: The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2: What are the lengths of the sides? A. 2 and 16 B. 4 and 14 C. 8 and 28 D. 6 and 12 II Short Answer. Answer only in the blank. Show work to receive credit. 22. Matt wanted to measure the height of the school s flagpole. He placed a mirror on the 22. ground d1 feet from the flagpole, then walked backwards until he could see the top of the pole in the mirror. His eyes were 5 ft. above the ground and he was d2 feet from the mirror. Using similar triangles, find the height of the flagpole if d1 = 58 feet and d2 = 11 ft. Round your answer to the nearest foot. Bonus: What similarity theorem is used to prove similarity?
5 GEOMETRY, T8,P5 NAME II Short Answer. Answer only in the blank. Show work to receive credit. Use the picture below for questions Find the scale factor of ABCD to WXYZ Find the scale factor of WXYZ to ABCD Find the values of s, t and u. 25. s = t = u = 26. Find the perimeter of each polygon. 26. (ABCD) (WXYZ) 27. Find the ratio of the perimeter of ABCD to the perimeter of WXYZ Given that PQR PST, explain why ST QR. 28 AC AB 29. Given that, find CE. 29. AE AD 30. Are the two triangles similar? If not, state why not. If so, state the similarity theorem 30. Y/N: which can be used to prove the triangles similar. (reason)
6 GEOMETRY, T8,P6 NAME EXTRA CREDIT: A. The figure below shows a dilation of ABC onto A' B' C '. A. The center of the dilation is O, and the scale factor is 3.5. If the length of OA is 2 inches, what is the length of AA? B. Draw the image of the triangle for a dilation centered at the origin with scale factor 2. USE A RULER!
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