Geometry 1A Multiple Choice Final Exam Practice

Transcription

1 Name Date: Per: Geometry 1 Multiple hoice Final Eam Practice 1. Let point E be between points F and G. Solve for r. FE = 6r 20 EG = 5r 24 FG = 55 [] r = 14 [] r = 5 [] r = 4 [D] r = 9 2. m JHI = ( 2 7) and m GHI = (8 6) and m JHG = 61. Find m JHI and m GHI. [] m JHI = 19 and m GHI = 42 [] m JHI = 25 and m GHI = 36 [] m JHI = 36 and m GHI = 25 [D] m JHI = 42 and m GHI = 19 G I J H 3. Solve for : [] 5 [] 2 [] 7 [D] 4 b g 3 22 b g If the measures of two complementary angles are and 6, then the measure of the larger angle =?. [] 65 [] 31 [] 25 [D] 125 [E] None of these 5. Decide which one of the following statements is false. [] line contains at least two points. [] Through any two distinct points there eists eactly one line. [] ny three points lie on a distinct plane. [D] Three noncollinear points determine a plane.

2 6. Which of the following is an eample of the Refleive Property? [] If 3 y and y = 4, then 3 = 4. [] If y 4, then 4 y. [] If = 3, then 4 = 3 4. [D] 3 = 3 7. If PQ = 3 and PQ + RS = 5, then 3 + RS = 5 is an eample of the. [] Refleive Property of Equality [] Transitive Property of Equality [] Substitution Property of Equality [D] Multiplication Property of Equality 8. Use the figure below. D F G E H For the cube shown, D and FG are. [] parallel lines [] oblique lines [] skew lines [D] perpendicular lines 9. Using the figure from #18: Name the intersection of plane DGH and plane D. [] D [] D [] G [D] G 10. Find m 1 in the figure below. PQ and RS are parallel. [] 108 P 72 Q [] 98 [] 18 R 1 S [D] 72

3 Use the figure to the right for questions If 3 is congruent to 5, then?. [] b//c [] r//s [] b//c and r//s [D] none of these 12. If r//s, then 8? 13. [] congruent [] adjacent [E] congruent and supplementary [] supplementary [D] congruent and adjacent b c r s Questions If 3 is congruent to 15, then?. [] b//c [] r//s [] b//c and r//s [D] none of these 14. Find the value of the variable if m l, m 2 = + 11 and m 7 = 3 5 [] 8 [] 4 [] 43.5 [D] l m 15. Find the value of : [] 127 [] [] 96 [D] Find the value of. [] 54 [] 299 [] 119 [D]

4 17. If DEF, = 24 feet, m = 43, and m F = 31, which of the following statements is false? [] D [] m = 106 [] FD = 24 ft [D] ED = 18. What must be true in order for ED by the S ongruence Postulate? [] E [] D [] E [D] DE 19. Refer to the figure shown with the given information. Which of the following statements is true? [] TUV WXV by SS Postulate U [] [] TUV TUV VWX by SS Postulate XWV by S Postulate T V W [D] TUV WXV by S Postulate TV WV UV XV X 20. Given: E and F. What other piece of information is needed to show DEF by S ongruence Postulate? [] D [] EF FE [] = F [D] EF 21. In,, which term does NOT describe the triangle? [] Obtuse [] Isosceles [] Equilateral [D] cute

5 22. Find the values of and y. 114 y [] [] = 48 ; y = 66 [] = 48 ; y = 114 = 66 ; y = 114 [D] = 66 ; y = D D. Name the theorem or postulate that justifies the congruence. [] SS Postulate [] S Postulate [] S Theorem [D] HL Theorem D 24. In the figure (not drawn to scale), MO bisects LMN, m LMO 15 21, and m NMO 63. Solve for and find m LMN. [] 6, 138 [] 6, 111 L O N [] 3, 24 [D] 3, 27 M 25. Given: F F, E E. median of triangle is. [] GF [] E [] D [D] F 26. Find the perimeter of E, given, D and F are midpoints of the sides of the triangle and E = 50, DF = 16, and D = 22. [] 63 [] 126 [] 88 [D] 38 F E D

6 27. Solve for given D = 7 2 and E = 3 8. ssume is the midpoint of and D is the 2 midpoint of E. [] 1 [] 7 4 D E [] 1 [D] N is on the perpendicular bisector of segment MP. N is equidistant from and. [] pt. Q and pt. R [] pt. M and pt. O N [] MO and PO [D] pt. M and pt. P M Q O R P 29. Find LG. [] 6 [] 7 [] L + 4 G [D] N 30. Write the side lengths from least to greatest. 67 [],, [],, [],, [D],, The longest side is. [] NM [] LN [] MP [D] ML

7 32. Which side lengths will allow you to construct a triangle? [] 2, 3, and 8 [] 6, 8, and 10 [] 4, 1, and 9 [D] 7, 2, and Solve the proportion ). 3 ). 10 ). 27 D) Which pair of polygons could be similar? ) ) ) D) Find the value of. ). 3.6 ). 4.5 ). 3.5 D) Solve for. ). 8 ). 10 ). 12 D) omplete the statement: ~?, and identify the reason why the triangles are similar. ). KN ; SSS Theorem ). KN ; SS Theorem ). NK ; SS Theorem D). NK ; SSS Theorem E). The triangles are not similar. 8 2 N 12 3 K

8 38. Find the values of and y in the figure to the right. ). = 14, y = 18 ). = 15, y = 16 ). = 27, y = y D). = 15, y = Write a similarity statement and the corresponding similarity ratio for the two triangles to the right. ). ~ DE; D ). ~ ED; 1 2 ). ~ DE; E D). ~ ED; Find the value of in the figure to the right. ). 6 ). 8 ). 9 D) Solve for in the figure to the right. ). 6 ). 12 ). 8 D) Solve for y in the figure to the right. ). 8 ). 180 ). 5.5 D) y 18

9 43. Determine which set of numbers can be the measures of the sides of a right triangle. ). 7, 12, 13 ). 5, 6, 7 ). 9, 40, 41 D). 5, 10, In a right triangle, the measures of the legs are 12 and 5, and the measure of the hypotenuse is + 3. Find the value of. ). 10 ). 5 ). 11 D) The perimeter of a square is 20. Find the length of a diagonal. ). 10 ). 5 2 ). 2 5 D). 4

10 Geometry 1 Multiple hoice Final Eam Practice 1. D D D D D D D D E 38. D 39. D D