GEOMETRY2006 Released Test
1. Which of the following is the measure ofthe supplement of ∠CAB?
1.42°
2.90°
3.132°
4.142°
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2. Two parallel sections of pipe are joined with aconnecting pipe as shown. What is the value of x?
1.90°
2.115°
3.135°
4.160°
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3.Parallel lines l and m are cut by transversal t,m∠4=m∠5, and m∠6=m∠7. What is themeasure of ∠8.
1.120°
2.90°
3.65°
4.45°
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4. What are the measures of twocomplementary angles if the difference oftheir measures is 18°?
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1.36°, 54°
2.41°, 49°
3.81°, 99°
4.86°, 94°
5. Line n intersects lines p, q, r, and s,forming the indicated angles. Which twolines are parallel?
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1.p and q
2.p and r
3.q and r
4.r and s
6. Which will prove that line l isparallel to line m?
1.∠2 ≅ ∠7
2.∠3 ≅ ∠6
3.∠5 ≅ ∠2
4.∠7 ≅ ∠1
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7. Which two points determine a lineparallel to QR?
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1.(1,1) and (2, -1)
2.(-1,-1) and (-2,-3)
3.(1,4) and (5,2)
4.(2,1) and (-2,-1)
8. Given: m∠1 = 110°Which must be true if y II z?
1.m∠8 = 100°
2.m∠7 = 110°
3.m∠6 = 80°
4.m∠5 = 110°
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9. For the construction shown above, whichof the following arcs must be drawn first?
1.1
2.2
3.3
4.4
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10. Which segment is apparentlycongruent to AB?
1.AW
2.AX
3.AY
4.AZ
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11. Which line is apparentlyperpendicular to AB?
1.PW
2.PX
3.PY
4.PZ
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12. According to the Venn diagramabove, which is true?
1.All cars haveautomatictransmissionsand rear-wheeldrive.
2.No cars have 4cylinders andrear-wheel drive.
3.All cars haverear-wheel drive.
4.Some cars haveautomatictransmissionsand 4 cylinders.
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13. Which set of statements represents an invalid argument?
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1.If I work, then I will make money. If Imake money, then I will buy clothes. If Iwork, then I will buy clothes.
2.If we pass Geometry, then we will playsports. If we play sports, then we willget a trophy. If we do not get a trophy,then we did not pass Geometry.
3.If Mark goes camping, then he will gofishing. If Mark goes fishing, then hewill buy bait. If Mark does not buy bail,then he will go camping.
4.If it is your birthday, then you will getice cream. If you get ice cream, thenyou will get cake. If it is your birthday,then you will get cake.
14. Triangle ABC and EFG are similar withmeasurements in centimeters as shown.What is the perimeter of triangle EFG?
1.21 cm
2.24 cm
3.36 cm
4.42 cm
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15. Which is the contrapositive of the statement below?If you do your homework, then you will be preparedfor the test.
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1.If you are prepared for thetest, then you did yourhomework.
2.If you are not prepared forthe test, then you did not doyour homework.
3.If you do your homework,then you will be preparedfor the test.
4.If you do not do yourhomework, then you will notbe prepared for the test.
16. If triangle XYZ is similar to triangle XLM,then -
1.XM : XZ =XL : XY
2.XM : XZ =XY : XL
3.XL : LM +YZ : XZ
4.XL : LY =XZ : MZ
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17.
1.SSA
2.ASA
3.SAS
4.AAS
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18. Three boys are in a field flying kites. Viewed from above, the angle atKyle, K, measures 45°, and the angle at Jake, J, measures 65°. Whichshows the distances between the boys in order from least to greatest?
1.LJ, JK, KL
2.KL, KJ, LJ
3.KJ, LK, JL
4.LJ, LK, JK
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19. Using the information in the drawing,which angle has the least measure?
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1.∠XZ
2.∠ XYZ
3.∠ ZXY
4.∠ YZX
20. Which of the following could not be thelengths of the sides of a triangle?
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1.8 in., 19., 15.,
2.6 in., 3 in., 9 in.
3.4 in., 5 in., 6 in.
4.10 in., 8 in., 9 in.
21. A fire truck has a ladder that can extend to 60 feet in length. Theladder can be safely raised to a maximum angle of 75°with thehorizontal. Disregarding the height of the fire truck itself, which isclosest to the maximum height that the ladder can safely reach?
1.15.53 ft.
2.57.96 ft.
3.60.00 ft.
4.62.12 ft.
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22. Scotty is making a train of dominoes of thefloor. How many dominoes are needed tocomplete the triangle?
1.6
2.12
3.18
4.36
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23. Using the measures shown, which trianglemust be a right triangle?
1.Triangle A
2.Triangle B
3.Triangle C
4.Triangle D
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24. The spokes on a wagon wheel formtwelve congruent central angles. What is thedegree measure of WG?
1.30
2.90
3.120
4.150
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25. XYZW is a rectangle.Which of the following is not necessarily true?
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1.XY = WZ
2. YZ WZ
3. XZ W
4. XY XW
26. In the drawing, a regular polygon is partially coveredby a rectangle. What is the number of sides of thispolygon?
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1.12
2.10
3.8
4.6
27. If <E ≈ <C, what is m<E?
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1.110°
2.120°
3.135°
4.150°
28. Three vertices of a parallelogram havecoordinates (1,-4), (3,8), and (5,0). What are thecoordinates of the second-quadrant vertex?
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1.(-3,12)
2.(-1,4)
3.(1,-4)
4.(9,4)
29. If m<AOB = 45° in circle O, what is m<ACB?
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1.22.5°
2.45°
3.67.5°
4.90°
30. Chords AB and CD intersect, formingsegments with the measures shown. What is thevalue of x?
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1.5
2.8
3.10
4.24
31. A regular pentagon and a regular hexagonshare a side as shown in the figure. What is themeasure of <ABG?
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1.108°
2.120°
3.132°
4.144°
32. In the rectangle PQRS, m<1 =50°. What ism<2?
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1.130°
2.85°
3.70°
4.65°
33. The sum of mAB and mBC is equal to--
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1.360°- mAC
2.240°- mAC
3.180°- mAC
4.120°
34. A swimming pool is being filled at the rate of 12 cubicyards per minute. If the pool is 18 yards long, 10 yardswide, and 3 yards deep, how many minutes will it take to fillthe pool?
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1.45 minutes
2.101 minutes
3.540 minutes
4.1,233 minutes
35. This drawing shows cubic boxes stacked in thecorner of a warehouse. If each box will hold 8cubic feet, what is the total capacity of the stack ofboxes?
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1.488 cubicfeet
2.496 cubicfeet
3.504 cubicfeet
4.512 cubicfeet
36. Which of the following nets can be foldedalong the dashed lines to form a cube?
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1.F
2.G
3.H
4.J
37. A machine for baling hay produces cylindricalbales that are 6 feet in diameter and 5 1/3 feet inheight. Which is closest to the number of cubicfeet in each bale of hay the machine produces?
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1.100
2.151
3.301
4.603
38. A boy knows that his height is 6 feet. At thetime of day when his shadow is 4 feet, a tree’sshadow is 24 feet. What is the height of the tree?
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1.36 ft.
2.24 ft.
3.18 ft.
4.12 ft.
39. The cylinders shown are similar. What is thevolume of the larger cylinder?
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1.56π m3
2.224π m3
3. 896π m3
4. 3,584π m3
40. If parallelogram ABCD is translated so that thenew location of point D is (-1,2), what would be thenew location of point B?
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1.(-5,0)
2.(-3,4)
3.(-2,5)
4.(1,4)
41.Triangle A’B’C’ is a transformation of triangleABC. If A→A’, B→B’, and C→C’ , A’B’C’ is a ---
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1.Reflection of triangleABC across line l
2.180 rotation of triangleABC about Point P
3.Translation of triangleABC across the line l
4.90 rotation of triangleABC across the line l
42. What is most likely the slope of the linegraphed above?
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1.-1
2.-1/2
3.1/2
4.1
43. What is the point of intersection of BD and AC?
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1.(3,3)
2.(3,4)
3.(4,4)
4.(4,3)
44. The figure shown is apparently symmetric withrespect to--
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1.Line l only
2.Line monly
3.Both linesl and m
4.Neitherline l norline m
45. What is the midpoint of the segment joining(12,2) and (-5,-7)?
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1.(9,17)
2.(5,-3)
3.(8.5,4.5)
4. (3.5,-2.5)