HONORS GEOMETRY—MIDTERM EXAM—2006 · Web viewMULTIPLE CHOICE: # 1. Determine which of the following is not shown in the figure above. [A.]three lines that intersect in a point

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HONORS GEOMETRY—MIDTERM EXAM—2006CHAPTERS 1—6

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

U4

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RP Q

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5 7

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5 x x

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HONORS GEOMETRY—MIDTERM EXAM—2006—PAGE 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 = ½ LN

STATEMENTS REASONS1. MP bisects LN. 1. Given2. M is the midpoint of LN. 2. _________________3. LM = ½ 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°

45

321

P R

T

VL

N

60

(2 y)x


# 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 thevalue 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. _________


R104

180

32

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Q

(3 x – y)(2 x + y)

30

60

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AB

C

# 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


E (1, 4, - 5)

F (- 6, 10, 0)

Mount Lookout (78, 71)

Exit 1Exit 2

Tomstown (2, 3)

(12, 3)

(0, 2)

(0, 10)

(12, 11)

# 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)


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# 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 aboutthis 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.


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# 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


If a triangle is scalene, then no two angles are congruent.

# 28. A rectangular card is cut along AB and BC as shown below. What is thearea 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.


1 2

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(2, 0)1

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y

# 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


70

50x

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(4 x + 1)

(3 x + 17)

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# 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


# 42. A triangle has a perimeter of 24 inches. What is the perimeter of the

6050

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CD

61R

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TE

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


# 48. UVWX is a trapezoid with midsegment YZ. What is the length of UV?

U V

Z

WX

Y

k

39

3 k – 2

120

U T

S

RQ

P

_______

[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


# 54. The measure of each exterior angle of a regular polygon is 45. How many sides does the polygon have? ____

B

10 DCA

[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 andmedian BD. The perimeter of ABC is 60 units.What is AB? ________

[A] 10 units [B] 15 units

[C] 20 units [D] 40 units


# 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. Given her diagram below, what reason can Jane use to show that the triangles are congruent? ______

[A] Angle-Angle-Angle (AAA) [B] Angle-Side-Angle (ASA)[C] Angle-Angle-Side (AAS) [D] Side-Angle-Side (SAS)

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HONORS GEOMETRY—MIDTERM EXAM—2006 · Web viewMULTIPLE CHOICE: # 1. Determine which of the following is not shown in the figure above. [A.]three lines that intersect in a point