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H. Math 2 Benchmark 1 Review

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1. Parallelogram ABCD was translated toparallelogram A’B’C’D’.

How many units and in which direction were thex-coordinates of parallelogram ABCD moved?

A. 3 units to the right B. 3 units to the left

C. 7 units to the right D. 7 units to the left

2. Which of the following is a model of a scalenetriangle?

A.

B.

C.

D.

3. What kind of a triangle always has 3 acute anglesand 3 sides the same length?

A. isosceles B. right

C. equilateral D. scalene

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4. Figure ABC is an isosceles triangle with base−−−BC.

Which is a true statement about ^ABC?

A. ∠A ∼= ∠B B.−−−AC ∼=

−−−AB

C.−−−AC ∼=

−−−CB D. ∠C ∼= ∠A

5. Which of the following sets of numbers couldrepresent the lengths of the sides of a triangle?

A. 2, 2, 5 B. 3, 3, 5

C. 4, 4, 8 D. 5, 5, 15

6. Quadrilateral FGHI is similar to quadrilateralPQRS.

Which of the following statements is true?

A. ∠I ∼= ∠Q B. ∠G ∼= ∠S

C. ∠P ∼= ∠G D. ∠H ∼= ∠R

7. In the figure below, quadrilateral ACDE is similarto quadrilateral ABGF.

What is the length of−−−AF?

A. 6.0 inches B. 6.4 inches

C. 10.0 inches D. 10.7 inches

page 2 H. Math 2 Benchmark 1 Review

8. Use the diagram below to answer the followingquestion.

Which of the following rectangles is similar torectangle DEFG?

A.

B.

C.

D.

9. Juanita performed a 50% dilation on figure KLMNas shown below.

What is the relationship between the length ofK′L′ and KL?

A. The length of K′L′ is half the length of KL.

B. The length of K′L′ is twice the length of KL.

C. The length of K′L′ is the same as the lengthof KL.

D. The length of K′L′ cannot be compared to thelength of KL.

10. ABCD is a trapezoid with median−−−EF.

What is the length of−−−AB?

A. 5 units B. 7 units

C. 9 units D. 10 units


11. Look at this diagram.

Trapezoid ABCD is similar to trapezoid JKLM.What is the measure of ∠K?

A. 55◦ B. 70◦ C. 110◦ D. 140◦

12. What is the length of−−−−WX? Show or explain how

you got your answer.

13. Use the figure below to answer the followingquestion.

In this figure, D and E are midpoints of thesides of triangle ABC. The perimeter of triangleADE is 18 centimeters. What is the perimeter oftriangle ABC?

A. 27 centimeters B. 36 centimeters

C. 54 centimeters D. 72 centimeters

14. Use the triangles to answer the question.

Triangles ABC and ADE are similar. Linesegment DE bisects segment AB. What is thelength of segment DE?




15. In the figure below, ^HIJ ∼= ^LKJ.

If m∠L = 50◦, what is m∠IJH ?

A. 35◦ B. 40◦ C. 45◦ D. 50◦

16. In the figure below,−−−PQ||

−−−SR, and

−−−PR and

−−−QS

intersect at point T .

Based on the angle measures in the figure, what isthe measure of ∠STR?

A. 62◦ B. 78◦ C. 102◦ D. 118◦

17. In the diagram below, ^HJK ∼ ^LMK.

Based on the dimensions in the diagram, what isthe length of

−−−JK?

A. 3 in. B. 4 in. C. 5 in. D. 6 in.

18. Use the figure below to answer the followingquestion.

Line segments AB and CD bisect each other at E.The measure of ∠CAE = 80◦ and m∠BDE = 60◦.Amy says that m∠CEA = 20◦, Brent says that it is30◦, Carlos says that it is 40◦, and Debra says itthat is 50◦. Which student is correct?

A. Amy B. Brent

C. Carlos D. Debra


19. Which is a pair of corresponding angles?

A. ∠BCA and ∠FDE B. ∠ABC and ∠DEF

C. ∠CAB and ∠EDF


20. Which figure shows the triangle below reflected over the x-axis, then reflected over the y-axis?

A. B.

C. D.


21. Triangle RST is shown in the coordinate plane.

What are the coordinates of R′S′T ′ if the figure isreflected over the x-axis and translated down twounits?

A. (1,−6), (1,−9), (6,−9)

B. (3, 4), (3, 7), (8, 7)

C. (1, 2), (1, 5), (6, 5)

D. (3, 2), (3, 5), (8, 5)

22. Which of the following transformations alwayspreserves the dimensions of a figure?

I. translation

II. rotation

III. reflection

IV. dilation

A. I, II, and III B. I, II, and IV

C. I, III, and IV D. II, III, and IV

23. If trapezoid KLMN shown below is reflected acrossthe x-axis to form trapezoid K′L′M′N ′, what arethe apparent coordinates of M′?

A. (−4, 5) B. (−4,−5)

C. (4,−5) D. (4, 5)


24. Triangle PQR is shown.

What are the coordinates of P′ when ^PQR isdilated by a scale factor of 3 using the origin asthe center?

A. (6, 18) B.

(3,

2

3

)

C.

(2

3, 3)

D. (18, 6)

25. If triangle ABC is rotated 180 degrees about theorigin, what are the coordinates of A′?

A. (−5,−4) B. (−5, 4)

C. (−4, 5) D. (−4,−5)


26. Trapezoid ABCD below is to be translated totrapezoid A’B’C’D’ by the following motion rule.

(x, y)→ (x + 3, y − 4)

What will be the coordinates of vertex C′?

A. (1,−3) B. (2, 1)

C. (6, 1) D. (8,−3)

27. Which theorem of congruence should be used toprove ^QRS ∼= ^TUV?

A. Angle-Side-Angle (ASA)

B. Angle-Angle-Side (AAS)

C. Side-Angle-Side (SAS)

D. Side-Side-Side (SSS)

28. Which principle of congruence could be used toprove triangle RST is congruent to triangle XYZ?

A. Side-Side-Side (SSS)

B. Side-Angle-Side (SAS)

C. Angle-Side-Angle (ASA)

D. Side-Side-Angle (SSA)


29. In the diagram below−−−BP ∼=

−−−PK and

−−−AP ∼=

−−PJ.

What additional information is sufficient to prove^APB ∼= ^JPK by side-angle-side (SAS)?

A. ∠A ∼= ∠K B. ∠B ∼= ∠J

C. ∠1 ∼= ∠K D. ∠1 ∼= ∠2

30. In the diagram below,−−−RT intersects

−−−−QU at point S.

Which postulate should be used to prove that^RQS ∼= ^TUS?

A. Side–Side–Side B. Angle–Side–Angle

C. Angle–Side–Side D. Side–Angle–Side

31. Which method listed below would not be used toprove that two triangles are congruent?

A. Prove all three sets of corresponding sidescongruent.

B. Prove all three sets of corresponding anglescongruent.

C. Prove that two sides and an included angle ofone triangle are congruent to two sides andan included angle of the other triangle.

D. Prove that two angles and an included side ofone triangle are congruent to two angles andan included side of the other triangle.

32. Given:−−−AB and

−−−CD intersect at point E;

∠1 ∼= ∠2

Which theorem or postulate can be used to prove^AED ∼ ^BEC?

A. AA B. SSS C. ASA D. SAS


33. In the figure below,−−→BD intersects

←→AC at point B.

What is the measure of ∠ABD?

A. 68◦ B. 112◦ C. 124◦ D. 170◦

34. What is the value of x in the figure below?

A. x = 18 B. x = 22

C. x = 30 D. x = 45

35. If AD = BD = BC and the measure of ∠ADB istwice the measure of ∠BDC, what is the measureof ∠ABC?

A. 70◦ B. 80◦ C. 90◦ D. 100◦

36. A right triangle is shown below.

Based on the measures in the triangle, what is x?

A. 15◦ B. 30◦ C. 45◦ D. 60◦

37. In the diagram shown, what is the measure of∠BAC?

A. 30 B. 42 C. 50 D. 130

38. M is the midpoint of−−−RS, RM = (3x + 1), and

MS = (4x − 2). What is RS?

A. 20 B. 17 C. 10 D. 3

39. Angles T and V are complementary. Angle T hasa measure of (2x + 10)◦. Angle V has a measureof 48◦. What is the value of x?

A. 16◦ B. 19◦ C. 26◦ D. 42◦


40. Which of the following could be used todetermine P, the perimeter of the triangle shownbelow?

A. P = 6y + 4 B. P = 5y − 4

C. P = 6y − 4 D. P = 5y + 4

41.

Using the figures above, find the value of x andthe value of y.

A. x = 10 and y = 10 B. x = 10 and y = 20

C. x = 40 and y = 20 D. x = 40 and y = 60

42. Look at−−−−MN on the coordinate plane.

What is the distance between the endpoints of−−−−MN?



43. What is the distance between the points (4,−2)and (−5, 3)?

A. D =√

106 B. D =√

28

C. D =√

26 D. D =√

2

44. Coordinates A(−2, 4) and B(−4, 1) lie on acoordinate plane. What is the midpoint of linesegment AB?

A.

(5

2,−3

)B.

(−

5

2, 3)

C.

(−3,

5

2

)D.

(3,

5

2

)

45. Which is a factor of x2 − 11x + 24?

A. x + 3 B. x − 3 C. x + 4 D. x − 4


46. What are the solutions for the quadratic equationx2 − 8x = 9?

A. 3 B. 3,−3 C. 1,−9 D. −1, 9

47. Which expression shows the complete factorizationof 12x2 − 147?

A. (3x − 7)(4x + 2) B. (4x − 21)(3x + 7)

C. 12(x − 7)(x + 7) D. 3(2x − 7)(2x + 7)

48. Which of the following is one of the factors ofthe expression below?

4x2 − 25

A. (4x − 5) B. (2x + 1)

C. (4x − 1) D. (2x − 5)

49. What is the factored form of the expression below?

x2 − 16

A. (x − 4)(x + 4) B. (x − 8)(x + 8)

C. (x − 4)(x − 4) D. (x − 8)(x − 8)

50. Which of the following shows the expressionbelow in factored form?

x2 + 2x − 8

A. (x − 2)(x + 4) B. (x + 2)(x + 4)

C. (x − 1)(x + 8) D. (x + 1)(x − 8)

51. Which of these shows the following expressionfactored completely?

6x2 + 15x − 36

A. (2x − 3)(x + 4) B. (6x + 9)(x − 4)

C. 3(2x − 3)(x + 4) D. 3(2x + 3)(x − 4)

52. Which shows the polynomial 8x2 + 16x + 8completely factored?

A. (4x + 4)2 B. (4x + 4)(2x + 2)

C. 8(x + 1)2 D. 8(x + 1)(x − 1)

53. What is the factored form of the expression below?

5x2 + 13x − 6

A. (5x + 1)(x − 6) B. (5x − 2)(x + 3)

C. (5x + 2)(x − 3) D. (5x − 1)(x + 6)

54. In the figure below,−−−UR is the midsegment of

trapezoid PQST .

Note: The figure is not drawn to scale.

What is the value of x?

A. 8.5 B. 11.5 C. 13 D. 17


Problem-Attic format version 4.4.217c_ 2011–2014 EducAide Software

Licensed for use by Jodi JohnsonTerms of Use at www.problem-attic.com

H. Math 2 Benchmark 1 Review 09/19/2014

1.Answer: D

2.Answer: A

3.Answer: C

4.Answer: B

5.Answer: B

6.Answer: D

7.Answer: A

8.Answer: D

9.Answer: A

10.Answer: A

11.Answer: C

12.Answer: 16 m

13.Answer: B

14.Answer: B

15.Answer: B

16.Answer: B

17.Answer: B

18.Answer:

19.Answer: A

20.Answer: D

21.Answer: D

22.Answer: A

23.Answer: C

24.Answer: D

25.Answer: A

26.Answer: D

27.Answer: B

28.Answer: C

29.Answer: D

30.Answer: B

31.Answer: B

32.Answer: A

33.Answer: B

34.Answer: A

35.Answer: C

36.Answer: B

37.Answer:

38.Answer: A

39.Answer: A

40.Answer: A

Teacher’s Key Page 2

41.Answer: B

42.Answer: D

43.Answer: A

44.Answer: C

45.Answer: B

46.Answer: D

47.Answer: D

48.Answer: D

49.Answer:

50.Answer: A

51.Answer: C

52.Answer: C

53.Answer: B

54.Answer:

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