ࡱ> hjglmnc CbjbjVV <<81111111l-2,1Y3Y3Y3Y3o3ƠƠƠikkkkkk$1Ӣ~HƠӢӢY3o3fӢY31o3iӢi|a)L!o3@/?1U%U07(Y* ($!(1!4Ơv<TDԡƠƠƠƠƠƠӢӢӢӢ(ƠƠƠƠƠƠƠƠƠ : HONORS GEOMETRYMIDTERM EXAM2006 CHAPTERS 16 NAME: _________________________ DATE: ________ PERIOD: ____ MULTIPLE CHOICE:  # 1. Determine which of the following is not shown in the figure above. __________ [A.] three lines that intersect in a point [B.] two lines that do not intersect [C.] three planes that intersect in a point [D.] three planes that intersect in a line  # 2. For the figure above, choose the false statement. _________  [A] US is a side of ( 2. [B] ( 2 is adjacent to ( SUQ [C] Q is the vertex of ( 6. [D] ( TUP is an obtuse angle.  # 3. Name a pair of adjacent angles in the figure. ________ [A] ( PQT and ( SUQ [B] ( 1 and ( 4 [C] ( 5 and ( 6 [D] ( 6 and ( TQR HONORS GEOMETRYMIDTERM EXAM2006PAGE 2  # 4.  In the figure above, if US bisects ( TUR, m ( 1 = 3 x + 18 and m ( TUR = 9 x 6, find the value of x. ________ [A] x = 4 [B] x = 8 [C] x = 14 [D] x = 60  # 5. Which of the following is the correct reason for Step 2 of the following proof? _  Given: In the figure above, MP bisects LN. Prove: LM = LN STATEMENTS REASONS 1. MP bisects LN. 1. Given 2. M is the midpoint of LN. 2. _________________ 3. LM = LN 3. Midpoint Theorem (A.) Definition of segment bisector (B.) Midpoint Theorem (C.) Definition of midpoint (D.) Segment Addition Postulate # 6. Points K and L lie in plane P, and point N does not lie in plane P. What is the intersection of plane P and the plane that contains points K, L, and N?  [A] KL [B] KN [C] LN [D] The planes do not intersect. # 7. In the figure, what is m ( BJD? ___________  [A] 30 [B] 60 [C] 100 [D] 150 HONORS GEOMETRYMIDTERM EXAM2006PAGE 3 # 8. In the diagram above, which number is paired with the bisector of ( PQR? ______ [A] 36( [B] 52( [C] 68( [D] 78( # 9. Choose the true statement. _________ [A] Two acute angles are never complementary. [B] Two acute angles are never supplementary. [C] Vertical angles are never complementary. [D] Vertical angles are never supplementary.  # 10.  In the figure above, if XP ( LR, m ( 2 = 2 n 4, and m ( 3 = n + 1, find the value of n. ________________ [A] 5 [B] 29 [C] 31 [D] 61 # 11. Two lines are parallel if: _______________ [A] they do not intersect [B] they are coplanar and do not intersect [C] they are not skew [D] they are noncoplanar and do not intersect  # 12. [A] x = 90, y = 45 [B] x = 90, y = 120 [C] x = 90, y = 60 [D] x = 120, y = 45 In the figure above, find the values of x and y. _________ HONORS GEOMETRYMIDTERM EXAM2006PAGE 4 # 13. If two parallel lines are cut by a transversal, which one of the following is not necessarily true? _________ [A] The corresponding angles are congruent. [B] The same-side interior angles are supplementary. [C] The corresponding angles are supplementary. [D] The alternate interior angles are congruent. # 14. In the figure above, find the values of x and y. ________ [A] x = 54, y = 42 [B] x = 54, y = 48 [C] x = 150, y = 120 [D] x = 132, y = 48  # 15. Which of the following best describes what ( SVT and ( TVU have in common?  [A] VT [B] VT  [C] VT [D] V, T # 16. Which of the following is a pair of supplementary angles? ____ [A] ( BOF and ( BOA [B] ( COD and ( DOE [C] ( COF and ( AOF [D] ( DOE and ( DOB HONORS GEOMETRYMIDTERM EXAM2006PAGE 5  # 17. What are the coordinates of the midpoint of EF? ___________  [A] (- 2.5, 7, - 2.5) [B] (- 3.5, 7, 2.5) [C] (4.5, 3, - 2.5) [D] (- 1.5, 3, 2.5) # 18. Using the map below, the highway department locates two exits between Tomstown and Mount Lookout. From Tomstown, Exit 1 is halfway to Mount Lookout, and Exit 2 is three-fourths of the way to Mount Lookout.  What are the coordinates for Exit 2? _____ [A] (74, 37) [B] (59, 54) [C] (40, 37) [D] (68, 54) # 19. The county planning department designs a new park in the shape of a parallelogram. They put in two diagonal walkways. What will be the coordinates of the intersection of the diagonal walkways? ________  [A] (6, 6.5) [B] (5, 6.5) [C] (5.5, 6) [D] (6, 2.5) HONORS GEOMETRYMIDTERM EXAM2006PAGE 6 # 20. Given: m ( 1 = 4 x, m ( 2 = (3 x + 10), and m ( 3 = (2 x + 17)  What is m ( 2? __________ [A] 61( [B] 47( [C] 31( [D] 17( # 21. If ABCD is a rhombus and m ( ABC = 100, what is the measure of ( 1? ________  [A] 40( [B] 50( [C] 80( [D] 90( # 22. ABCD is a parallelogram. If m ( BCD = (6 x + 20) and m ( DAB = (2 x + 80), what is the value of x? ________ [A] 8.3 [B] 12.5 [C] 15 [D] 25  # 23. Which of the following statements is true about this picture? ______ [A] m ( O > m ( M [B] m ( M > m ( N [C] m ( M < m ( N [D] m ( N < m ( O # 24. Write the following statement in if-then form. ______ Two angles that form a linear pair are supplementary. [A] If two angles are supplementary, then they form a linear pair. [B] If two angles form a linear pair, then they are supplementary. [C] If two angles are not supplementary, then they form a linear pair. [D] If two angles do not form a linear pair, then they are supplementary. HONORS GEOMETRYMIDTERM EXAM2006PAGE 7 # 25. What is the inverse of the statement below? _______  [A] If the triangle is not scalene, then there are two congruent angles. [B] If two angles of a triangle are congruent, then the triangle is scalene. [C] If there are two congruent angles in a triangle, then the triangle is not scalene. [D] If the triangle is not scalene, then there are no congruent angles. # 26. If k | | m | | n, which of the statements justifies the conclusion that ( 1 ( ( 2 ( ( 3?  [A] If k | | m | | n with transversal t, then alternate interior angles are congruent. [B] If k | | m | | n with transversal t, then vertical angles are congruent. [C] If k | | m | | n with transversal t, then alternate exterior angles are congruent. [D] If k | | m | | n with transversal t, then corresponding angles are congruent.  # 27. In the drawing, what is the measure of angle y? _______ [A] 40( [B] 60( [C] 80( [D] 100( HONORS GEOMETRYMIDTERM EXAM2006PAGE 8 # 28. A rectangular card is cut along AB and BC as shown below. What is the area of ( ABC? _____  [A] 5.83 in. 2 [B] 7.5 in. 2 [C] 8 in. 2 [D] 15 in. 2 # 29. If m ( 1 = 35(, ( 1 and ( 2 are complementary, m ( 2 = m ( 3, and m ( 3 = m ( 4, what is m ( 4? _________ [A] 35( [B] 55( [C] 90( [D] 145( # 30. What can you conclude if you know m ( P + m ( Q = m ( R + m ( Q? ____ [A] m ( P = m ( Q [B] m ( P = m ( R [C] m ( Q = m ( R [D] ( P and ( R are supplementary.  # 30. Point Q is the midpoint of PR. PQ = 2 x + 1 and QR = 3 x 6. What is PR? ____ [A] 7 [B] 14 [C] 15 [D] 30 # 31. ( AXB and ( BXC are adjacent, complementary angles, and ( BXC and ( CXD are adjacent, supplementary angles. Which statement is true? ____ [A] ( AXB and ( BXC are vertical angles. [B] ( AXB and ( CXD are vertical angles. [C] ( CXD and ( DXA are supplementary. [D] ( DXA and ( AXB are supplementary. HONORS GEOMETRYMIDTERM EXAM2006PAGE 9 # 32. What do you need to know to conclude that m ( 1 = m ( 4? _________  [A] Line a is parallel to line b. [B] Line a is parallel to line c. [C] Line a is perpendicular to line c. [D] Line b is perpendicular to line c. # 33. Lines j, k, m, and n lie in a plane. You know line j is perpendicular to line n, m is perpendicular to line n, and line k is parallel to line m. What can you conclude? [A] Line n is parallel to line k. [B] Line j is perpendicular to line m. [C] Line k is perpendicular to line j. [D] Line j is parallel to line k. # 34. If m ( F = 60(, what is m ( FKL? _________  [A] 30( [B] 60( [C] 120( [D] 150( # 35. Which of the following is an equation of a line parallel to the line with the equation 3 y = - 5/2 x + 4? ____ [A] y = - 5/2 x + 7 [B] 3 y = - 2/5 x + 4 [C] y = - 5/6 x + 7 [D] 4 y = - 5/6 x + 3 # 36. Which of the following is an equation of a line parallel to the one shown? _______ [A] 2 x 2 y = 3 [B] 3 x + y = 2 [C] x y = - 3 [D] 2 x y = - 9 HONORS GEOMETRYMIDTERM EXAM2006PAGE 10 # 37. Which of the following is an equation of a line perpendicular to the line with equation 2 y = - x + 2/3 ? _________ [A] 2 y = x + 2/3 [B] y = 2 x 6 [C] y = x 3 [D] 6 y = 3 x + 2 # 38. In the figure, what is the value of x? __________  [A] 170( [B] 140( [C] 120( [D] 110(  # 39. In the figure below, C is the midpoint of BE, m ( B = m ( E, and AB = DE. What is the measure of ( ACB?  [A] 40( [B] 50( [C] 80( [D] 100( # 40. In the figure below, ( K ( ( M. What is the length of NK? ________  [A] 65 [B] 51 [C] 21 [D] 16 # 41. In the figure below, P is the centroid of ( DEF, and PG = 4. What is EG? _____ [A] 8 [B] 12 [C] 16 [D] EG cannot be determined HONORS GEOMETRYMIDTERM EXAM2006PAGE 11 # 42. A triangle has a perimeter of 24 inches. What is the perimeter of the triangle formed by its midsegments? _____ [A] 6 in. [B] 8 in. [C] 12 in. [D] 24 in. # 43. ( ABC and ( CBD are adjacent angles, m ( ABC = 60(, and m ( CBD = 50(. Also, BA = BC = BD.  Which statement is true? _________ [A] AC ( AB [B] AC ( BD [C] AC ( CD [D] AC ( DA # 44. A quadrilateral has interior angles with measures x (, 2 x (, 3 x (, and 4 x (. What is the value of x? _____ [A] 40 [B] 36 [C] 20 [D] 18 # 45. In parallelogram QRST, QS = 4 y 3 and RT = 2 y + 6, and RT = 2 (QS). What is QS? ______ [A] 2 [B] 5 [C] 10 [D] 12 # 46. In the figure, RHMB is a rhombus. What is m ( B? ________  [A] 151( [B] 122( [C] 119( [D] 110( # 47. Quadrilateral KITE is a kite. If m ( KTI = 22(, what is m ( ITE? ______ [A] 22( [B] 44( [C] 48( [D] 66( HONORS GEOMETRYMIDTERM EXAM2006PAGE 12  # 48. UVWX is a trapezoid with midsegment YZ. What is the length of UV? _______  [A] 25 [B] 20 [C] 19 [D] 12 # 49. A rhombus has diagonals of length 20 centimeters and 40 centimeters. What is the area of the rhombus? ___ [A] 800 cm 2 [B] 600 cm 2 [C] 400 cm 2 [D] More information is needed to determine the area # 50. Suppose ( JKL ( ( QRS. Which statement can you conclude? ________ [A] ( L ( ( Q [B] JK = SR [C] ( Q ( ( S [D] JL = QS # 51. In ( DEF, m ( F ( m ( D ( m ( E. Which of the following is true? __________ [A] DE ( EF and EF ( DF [B] EF ( DE and EF ( DF [C] DE ( EF and DF ( EF [D] EF ( DE and EF ( DF # 52. For which type of convex polygon is the sum of the interior angles equal to the sum of the exterior angles, one at each vertex? _______ [A] triangle [B] hexagon [C] pentagon [D] quadrilateral # 53. If m ( P = 120, what is the sum of the measures of the remaining interior angles? ___ [A] 240( [B] 360( [C] 600( [D] 720( HONORS GEOMETRYMIDTERM EXAM2006PAGE 13 # 54. The measure of each exterior angle of a regular polygon is 45. How many sides does the polygon have? ____ [A] 4 [B] 5 [C] 8 [D] 9 # 55. Triangle MNO has coordinates M (0, 2), N (1, 0), and O (5, 1). What type of triangle is ( MNO? ______ [A] isosceles [B] right [C] scalene [D] equilateral # 56. In triangle XYZ, W is between Y and Z. The coordinates are X (2, 3), Y (5, 0), Z (0, 0), and W (2, 0). What is XW? ______ [A] altitude [B] median [C] angle bisector [D] perpendicular bisector of a side # 57. What is the most specific name for quadrilateral ABCD with vertices A(0, 0), B (3, 4), C (6, 0), and D (3, - 4)? ________ [A] parallelogram [B] rectangle [C] rhombus [D] trapezoid # 58. In rectangle ABCD, diagonal AC = (3 x 9) and diagonal BD = (x + 13). What is AC? ________ [A] 16 [B] 18 [C] 24 [D] 32 # 59. In parallelogram RSTU, the diagonals intersect at E. If RE = 10 and SU = 16, what is RT? _____ [A] 20 [B] 16 [C] 10 [D] 8 # 60. ( ABC is an isosceles triangle with AB = BC and  median BD. The perimeter of ( ABC is 60 units. What is AB? ________ [A] 10 units [B] 15 units [C] 20 units [D] 40 units HONORS GEOMETRYMIDTERM EXAM2006PAGE 14 # 62. A triangle has interior angles that measure 3 x, (2 x + 15), and (x + 45). What is the measure of the largest exterior angle? ________ [A] 160( [B] 125( [C] 120( [D] 115( # 63. Joe is building a room. What do the planes of the floor and the back wall of the room most closely represent? ______ [A] coplanar planes [B] intersecting planes [C] parallel planes [D] bisecting planes # 64. Jane drew two triangles and labeled them to show specific sides and angles were congruent. 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