1. Which of the following shows a triangle and its reflection image in the 

[A] 

[B] 

[C] 

[D] 

2. Use the figure below.  Segment x is reflected in the x-axis, followed by a reflection in the y-axis, followed by another reflection in the x-axis. Its final image is _____.

[A] segment p		[C] segment t
[B] segment s		[D] segment x

3.  What are the coordinates of the vertices when the figure is reflected in line m? 

[A] W´(1, 4), X´(–2, –1), Y´(–5, 1)
[B] W´(5, –4), X´(2, 1), Y´(–1, –1)
[C] W´(1, –4), X´(2, –1), Y´(–5, –1)
[D] W´(–4, 5), X´(1, 2), Y´(–1, –1)

4. The notation for the length of the segment between P and Q is _______.

[A] PQ			[C] 
[B] 		[D] 

5. Find the distance between the points (1, 0) and (–6, 2).

[A] 		[C] 
[B] 29			[D] 53

6. Let  be between  and . Use the Segment Addition Postulate to solve for .
 = 
 = 
 = 65

[A]  = 3		[C]  = 8
[B]  = 5		[D]  = 2

7. The distance between points A and B is _______.

[A] 85			[C] 
[B] 		[D] 

8. In the figure shown, . Which of the following statements is false?

[A] 
[B] 
[C] 
[D] 

9. Which statement is true?

[A] All quadrilaterals are rectangles.
[B] All rectangles are squares.
[C] All quadrilaterals are squares.
[D] All rectangles are quadrilaterals.

10. Find the area of a circle with radius 17 cm. Use  = 3.14.

[A] 106.76 		[C] 1814.92 
[B] 907.46 		[D] 453.73 

11. Which of the following letters (if drawn as simply as possible) has at least one line of symmetry?
N, F, M, G

[A]  F			[C] M
[B] N			[D] G

12. Solve for x:

[A] 4
[B] 3
[C] 1
[D] 6

13. A wooden fence is to be built around a 30 m-by-74 m lot. How many meters of fencing will be needed? If the wood for the fence costs $28.00 per meter, what will the wood for the fence cost?

[A] 2220 m, $5,824.00
[B] 2220 m, $62,160.00
[C] 208 m, $62,160.00
[D] 208 m, $5,824.00

14. Use slope and/or the Distance Formula to determine the most precise name for the figure:  A(–9, –7), B(–4, –3), C(0, 2), D(–5, –2).

[A] quadrilateral	[C] parallelogram
[B] rectangle		[D] rhombus

15. Choose the phrase that completes the following statement as stated by the Point, Line, and Plane Postulates: If two lines intersect, their intersection is ___ one point.

[A] always
[B] never
[C] sometimes
[D] Point, Line, and Plane Postulates do not address this topic directly.

16. Find the circumference of the circle. Use  = 3.14.

[A] 95.72 in.			[C] 8167.14 in.
[B] 320.28 		[D] 320.28 in.

17. Name three points that are collinear. Assume  is not a straight angle. 

[A] points T, Q, and S
[B] points S, Q, and R
[C] points T, Q, and R
[D] points T, S, and R

18.  are supplementary angles.  are vertical angles. If  then find 

[A] 		[C] 
[B] 		[D] 

19. Isosceles trapezoid JKLM has legs  and , and base  If  and  Find the value of x.

[A] 		[C] 
[B] 			[D] 

20. In the diagram,  and . Find the value of x.

[A] 		[C] 
[B] 		[D] 

21. Consider the conditional statement, “If , then x = –5.” All of the following are true statements except _____.

[A] 
[B] the converse is false
[C] the converse is true
[D] the statement is false

22. If PQ = 3 and PQ + RS = 5, then 3 + RS = 5 is an example of the __________.

[A] Reflexive Property of Equality
[B] Substitution Property of Equality
[C] Multiplication Property of Equality
[D] Transitive Property of Equality

23. In the figure,  and r is a transversal. Which of the following is not necessarily true?

[A] 		[C] 
[B] 		[D] 

24. In the figure,  are __________.

[A] corresponding angles
[B] alternate exterior angles
[C] alternate interior angles
[D] consecutive interior angles

25. Find the slope-intercept form of the the line passing through the point  and parallel to the line 

[A] y = 		[C] y = 
[B] y = 		[D] y = 

26. Decide which one of the following statements is false. 

[A] Any three points lie on a distinct line.
[B] Through any two distinct points there exists exactly one line.
[C] A line contains at least two points.
[D] Three noncolinear points determine a plane.

27. Which best describes the relationship between the lines with equations

[A] parallel
[B] neither parallel nor perpendicular
[C] same line
[D] perpendicular

28. mECD = () and mBCD = () and mECB = 69.  
Find mECD and mBCD.

[A] mECD  = 35 and  mBCD  = 34
[B] mECD  = 41 and  mBCD  = 28
[C] mECD  = 34 and  mBCD  = 35
[D] mECD  = 28 and  mBCD  = 41

29. Give the reason for the step taken from a proof.

            Given
           Given
                                       Given
                                           ?

[A] Congruent Complements Theorem
[B] Linear Pair Postulate
[C] Vertical Angles Theorem
[D] Congruent Supplements Theorem

30. In the figure shown,  and m = . Which of the following statements is false?

[A] 
[B]  and  are alternate interior angles.
[C] 
[D]  and  are corresponding angles.

31. In the figure,  and  are _________.

[A] corresponding angles
[B] consecutive interior angles
[C] alternate exterior angles
[D] alternate interior angles

32. If ABC   DEF, AB = 10 feet, mB = 17, and mF = 45, which of the following statements is false?

[A] 
[B] 
[C] 
[D] 

33. Refer to the figure below. _______. 

[A] 		[C] 
[B] 		[D] 

34. Write the slope-intercept form of the equation of the line passing through the point (–1, 2) and perpendicular to the line 

[A] y = 
[B] y = 
[C] y = 
[D] y = 

35. A line perpendicular to  is __________.

[A] 		[C] 
[B] 	[D] 

36. In the figure (not drawn to scale),  bisects   and  Solve for x and find 

[A] 19, 142
[B] 19, 119
[C] 7, 11
[D] 7, 43

37. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 32 degrees and its 2 congruent sides measure 21 units?

[A] 32°		[C] 74°
[B] 148°		[D] 58°

38. Find the value of x:

[A] 29°		[C] 151°
[B] 93°			[D] 122°

39. Use the graph below to complete the sentence.  

Figure  is the image of figure ABCD under a rotation _______

[A] counterclockwise about the origin.
[B] clockwise about the origin.
[C] about the origin.
[D] clockwise about the origin.

40. Solve for x given  =  and  = . Assume B is the midpoint of  and D is the midpoint of   

[A] 			[C] 
[B]   			[D] 

41. Which of these lengths could be the sides of a triangle?

[A] 13 cm, 18 cm, 3 cm
[B] 14 cm, 5 cm, 10 cm
[C] 5 cm, 14 cm, 9 cm
[D] 18 cm, 13 cm, 4 cm

42. Two sides of a triangle have sides 10 and 22. The length of the third side must be greater than _____ and less than ____.

[A] 12, 32		[C] 9, 23
[B] 11, 33		[D] 10, 22

43. Which one of the statements below is FALSE? 

[A] A quadrilateral has 4 sides.
[B] A decagon has 8 angles.
[C] A circle is NOT a polygon.
[D] A pentagon has 5 sides.

44. Find the value of the variables in the parallelogram.

[A] x = 11.5,  y = 59,  z = 157
[B] x = 59,  y = 11.5,  z = 157
[C] x = 39,  y = 23, z = 118
[D] x = 23,  y = 39,  z = 118

45. The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). Which best describes the quadrilateral?

[A] a rectangle			[B] a square
[C] a parallelogram		[D] a rhombus

46. Consecutive angles in a parallelogram are always ________.

[A] congruent angles
[B] supplementary angles
[C] complementary angles
[D] vertical angles

47. Find the values of x and y.

[A] 
[B] 
[C] 
[D] 

48. In  and , , , , , and . Which angle measure is reasonable for ?

[A] 		[C] 
[B] 		[D] 

49. Given:  bisects , Prove:

Proof:
The missing step in the proof is _____________.                            

[A] 
[B] 
[C] 
[D] 

50. Refer to the figure below. Which of the following statements is true?

[A] 
[B] 
[C] There are no congruent triangles.
[D] 

ANSWERS

Reference: 
[7.1.1.2]
[1] [A]
Reference: [7.2.1.23]
[2] [C]
Reference: [7.2.1.14]
[3] [B]
Reference: [1.3.1.23]
[4] [A]
Reference: [1.3.2.32]
[5] [A]
Reference: [1.3.1.27]
[6] [A]
Reference: [1.3.2.35]
[7] [C]
Reference: [1.6.1.62]
[8] [C]
Reference: [6.4.1.44]
[9] [D]
Reference: [1.7.1.77]
[10] [B]
Reference: [7.2.2.31]
[11] [C]
Reference: [1.6.1.68]
[12] [B]
Reference: [1.7.2.83]
[13] [D]
Reference: [6.5.1.60]
[14] [D]
Reference: [2.1.2.13]
[15] [A]
Reference: [1.7.1.79]
[16] [D]
Reference: [1.2.1.13]
[17] [C]
Reference: [2.6.2.60]
[18] [C]
Reference: [6.5.1.55]
[19] [B]
Reference: [4.2.2.45]
[20] [A]
Reference: [2.1.1.10]
[21] [B]
Reference: [2.4.1.41]
[22] [B]
Reference: [3.3.1.18]
[23] [D]
Reference: [3.1.2.9]
[24] [D]
Reference: [3.6.2.46]
[25] [C]
Reference: [2.1.2.15]
[26] [A]
Reference: [3.7.1.50]
[27] [D]
Reference: [1.4.1.46]
[28] [D]
Reference: [2.6.2.54]
[29] [D]
Reference: [3.3.2.20]
[30] [C]
Reference: [3.1.2.8]
[31] [C]
Reference: [4.2.1.41]
[32] [B]
Reference: [4.1.2.26]
[33] [A]
Reference: [3.7.2.60]
[34] [D]
Reference: [3.7.1.55]
[35] [B]
Reference: [5.2.2.19]
[36] [A]
Reference: [4.6.1.78]
[37] [C]
Reference: [4.1.2.15]
[38] [A]
Reference: [7.3.1.44]
[39] [B]
Reference: [5.4.1.41]
[40] [B]
Reference: [5.5.2.64]
[41] [B]
Reference: [5.5.2.63]
[42] [A]
Reference: [6.1.1.14]
[43] [B]
Reference: [6.2.1.34]
[44] [D]
Reference: [6.4.1.48]
[45] [B]

Reference: [6.2.1.32]
[46] [B]
Reference: [4.6.1.83]
[47] [C]
Reference: [5.6.2.67]
[48] [B]
Reference: [4.3.1.56]
[49] [C]
Reference: [4.3.1.49]
[50] [D]