End-Of-Year Test Modules 17 25

End-of-Year Test Modules 17–25

For 45–46, use the graph.

45.Which segment is congruent to

______

46.What is the midpoint of

______

Use the following information for 47–48.

In the figure,

47.What is the value of x?

______

48.What is mKJM?

______

49.Line segment PQ with endpoints P(4, 2) and Q(2, 0) is rotated 90° clockwise around the origin. What are the coordinates of the midpoint of

______

50.Use the graph.

Which transformation maps RST to
RST?

A(x, y)  (x 6, y 6)

B(x, y)  (x 6, y 6)

C(x, y) (x 6, y 6)

D(x, y)  (x 6, y 6)

Use the figure for 51–52.

51.How many lines of symmetry does the figure have?

______

52.What are the angles of rotation less than 360 for the figure?

______

Name______Date______Class______

End-of-Year Test Modules 1–25

Name______Date______Class______

Use the following information for 53–54.

In the figures below,

53.What is the value of x?

______

54.What is the value of y?

______

Use the graph for 55–56.

55.What transformations can you use to show that quadrilaterals DEFG and D'E'F'G' are congruent?

______

56.Express the transformations as a single mapping rule in the form of
(x, y)  (?, ?).

______

57.In the figure, m2  75.

What is m7?

______

58.The measures of two complementary angles are represented by the expressions (3x 16) and (5x 18) Find the value of x.

______

59.Write an equation for the line that passes through (1, 3) and is perpendicular to

______

60.Write an equation for the line that passes through (3, 2) and is parallel to
2x3y3.

______

61.In the figure, the measure of 2 is 55.

What is the measure of 4?

______

Name______Date______Class______

End-of-Year Test Modules 1–25

Name______Date______Class______

62.Use the figures.

Determine the value of x that ensures that the triangles are congruent.

______

For 63–64, state the additional congruency statement or statements needed to prove for the given theorem.

63.ASA Theorem

______

64.AAS Theorem

______

65.Look at the figure below.

Are triangles DEF and FGH congruent? Explain why or why not. If the triangles are congruent, write a congruence statement.

______

66.In the figure,

Explain why

______

67.Use the figure.

Answer True or False for each statement.

AAngle MKL is an exterior angle of triangle JKM.

True False

BAngle KML is an exterior angle of triangle JKM.

True False

CAngles MKL and KLM are complementary.

True False

Dx = 35

True False

68.The sum of the measures of the interior angles of a regular polygon is 900. How many sides does the polygon have?

______

Name______Date______Class______

End-of-Year Test Modules 1–25

Name______Date______Class______

69.Triangle RST is an isosceles triangle with mR 120. What is mS? Explain your reasoning.

______

70.The lengths of two sides of a triangle are 5 meters and 8 meters. If x represents the length of the third side in meters, which inequality gives all possible lengths for the third side?

A3 x 13

B3 x 13

Cx 3 or x 13

Dx3 or x13

For 71–72, use the figure.

71.If EG 4, what is GC?

______

72.If AF 15, what is AG?

______

73.In the figure, is the midsegment of

If KM 11 cm and KL 24 cm, what is KN?

______

74.In the figure, and are perpendicular bisectors.

If LP 5,LH 12, HP 13, and
PM 6, what isPJ?

______

75.In the figure, point W is the incenter of triangle XYZ.

If RW 5 and WY 14, what is WT?

______

76.ABCD is a quadrilateral with and BCDDAB.

If EC 16 cm, mABC 64,
AE 3x 5, and mDAB (4y 12),
for which values of x and y is ABCD a parallelogram?

Ax 7, y 19

Bx 32, y 7

Cx 7, y 32

Dx 8, y 19

Name______Date______Class______

End-of-Year Test Modules 17–25

Name______Date______Class______

77.State whether each quadrilateral has congruent diagonals.

Aparallelogram Yes No

Brhombus Yes No

Crectangle Yes No

Disosceles trapezoid Yes No

Ekite Yes No

78.GIJL is a trapezoid with midsegment

If IJ 18 cm and GL 42 cm, what is HK?

______

79.Triangle PQR is shown in the graph.

Use the coordinates of the vertices to determine whether each statement is True or False.

ATriangle PQR is a right triangle.

True False

BTriangle PQR is scalene.

True False

CTriangle PQR is isosceles.

True False

DTriangle PQR is an acute triangle.

True False

80.A parallelogram has vertices
D(4, 1), E(2, 5), F(4, 3), and G(2, 3). Determine whether DEFG is a rhombus, rectangle, or neither. Explain your reasoning.

______

81.KLMN is an isosceles trapezoid.

What is the missing x-coordinate of N?

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Use the following information for 82–83.
The figure is symmetric about the x-axis.

82.Find the perimeter of the figure. Round to the nearest tenth.

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83.What is the area of the figure?

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Name______Date______Class______

Math 2 Modules 1-7

1. Which expression is equivalent to ?

2.What is the range of the relation

3.What is the product of (2x 1) and
(3x 1)?

A6x2x 1C6x2x 1

B6x2 5x 1D6x2 5x 1

Which equation matches the solutions in the table of values above?

5.What is the domain of

Aall real numbersCx 0

Bx 0Dy 0

6.What is the best prediction for the number of runners in 2016?

Year / ’12 / ’13 / ’14 / ’15
Number of Runners / 61 / 70 / 75 / 82

A83 C92

B89 D98

7.A motorcycle with an initial value of $14,000 is decreasing in value at
a rate of 3% each year. At this rate, approximately what will the value of
the motorcycle be in 9 years?

A$14,000C$9800

B$10,650D$550

8.Would each of the following data sets be best described by an exponential model?

A{(2, 4), (3, 9), (4, 16), (5, 25)}

Yes No

B{(2, 1), (3, 0), (4, 1), (5, 0)}

Yes No

C{(2, 64), (3, 16), (4, 4), (5, 1)}

Yes No

9.Is each of the following polynomials a trinomial with a degree of 6?

A Yes No

B Yes No

C Yes No

D Yes No

10.Jorge obtained the graph of
by transforming the graph of Which describes
the transformation?

AShift the graph of f(x) up 3 units and to the left 1 unit.

BShift the graph of f(x) up 3 units and to the right 1 unit.

CShift the graph of f(x) down 3 units and to the left 1 unit.

DShift the graph of f(x) down 3 units and to the right 1 unit.

11.What are the coordinates of the vertex of the graph of

A(0, 6)C(0, 3)

B(0, 3)D(0, 6)

Name______Date______Class______

Math 2 Modules 1-7

Name______Date______Class______

12.What is the product of and

13.In the expression 2x 3yz 10, which value is not a coefficient?

A3C1

B2D10

14.What is the sum of and

A3x2 2x 14

Bx212x 2

Cx2 2x 2

D3x2 2x 2

15.Which is equal to

16.What are the solutions to

Ax5 and x1

Bx5 and x 1

Cx 5 and x1

Dx 5 and x 1

17.Solve What are the solutions?

Ax8 or x6

Bx4 or x12

Cx 0 or x14

Dx 6 or x 8

______

18.In the figure, m2  75.

What is m7?

______

What is the range of the relation shown in the table?

A{6, 7, 9, 22}

B{5, 1, 9, 14}

C{9}

D{5, 1, 6, 7, 9, 14, 22}

20.Which is equivalent to the expression

A19C1

B1D55

21.In the figure, the measure of 2 is 55.

What is the measure of 4?

______

Name______Date______Class______

Math 2 Modules 1-7

Name______Date______Class______

22.Which of the following best describes the end behavior of

AAs
As

BAs
As

CAs
As

DAs
As

23.Do each of these polynomials represent a difference of squares?

A25x 16 Yes No

B25x2 16 Yes No

C25x2 16x Yes No

D25x4 16x2 Yes No

24.Which functions have a rate of change greater than the function represented in the table?

x / 1 / 2 / 3 / 4
f(x) / 2 / 3 / 8 / 13

A Yes No

B Yes No

C Yes No

D Yes No

25.Which is equivalent to 8x2 14x 5?

A(2x 1)(4x 5)

B(2x 5)(4x 1)

C(x 1)(8x 5)

D(x 5)(8x 1)

26.Solve |2x 1|  11. What are the solutions?

Ax5 only

Bx 5 and x 6

Cx  6 only

Dx  5 and x6

27. What is the value of

______

28.High temperatures for five days in New York were 70F, 80F, 77F, 66F, and 59F. What was the range of temperatures?

______

29.The graph of a quadratic function has a vertex at (3, 5) and contains the point
(2, 10). What is the y-intercept of the graph of the function?

______

30.Use the figure.

What is the value of x?

______

31.The sum of the measures of the interior angles of a regular polygon is 900.How many sides does the polygon have?

______

Name______Date______Class______

32.Triangle RST is an isosceles triangle with mR 120. What is mS? Explain your reasoning.

______

33.The sides of a triangle measure 5 meters and 8 meters. What are the possible side lengths for the third side? Show your work.

______

34.

Raj graphed the line of best fit for the data above. What is the slope of the line?

______

35.What is the y-value of the vertex of the graph of

______

36.In the figure, is the midsegment of ∆JKL

If KM 11 cm and KL 24 cm, what is KN?

______

37.At what x-value does the graph of
f(x) x2 16x 64 touch the x-axis?

______

38.Use the quadratic formula to solve
0  8x2 10x 2. What is the positive root, rounded to the nearest hundredth?

______

39.In the figure, point W is the incenter of the triangle XYZ.

If RW 5 and WY 14, what is WT?

______

40.ABCD is a quadrilateral with and BCDDAB.

If EC 16 cm, mABC 64,
AE 3x 5, and mDAB (4y 12),
for what values of x and y is ABCD a parallelogram?

______

Answer Key

End-of-Year Test Modules 17–25

Name______Date______Class______

45.

46. (3.5, 1.5)

47. x 7

48. 70

49. (1, 1)

50. D

51. 5

52. 72, 144, 216, 288

53.x9

54.y8

55.a reflection over the y-axis, then a translation 1 unit left and 6 units down

56.(x, y)  (x 1, y 6)

57.105

58.x7

59.y2x 1

60.

61.35

62.x 9

63.

64.or

65.Yes; the figure shows that and andare vertical angles, soTherefore, by SAS.

66.It is given that and are right triangles and by the Reflexive Property, so by HL Theorem.

67. A False B True C False D True

68.7 sides

69.mS 30; the base angles of an isosceles triangle are congruent. SinceR is an obtuse angle, the unknown angles are the acute base angles of the triangle. The sum of the base angles is 180  120  60, so each base angle is equal to 30.

70. A

71.8

72.10

73.12 cm

74.13

75.5

76.C

77.A No B No C Yes D Yes E No

78.30 cm

79. A False B False C True D True

80.rectangle; using the Distance Formula, so the figure has opposite sides that are congruent. The slope of  slope of  1 and slope of  slope of
1, so the figure has two pairs of parallel sides, and consecutive sides are perpendicular. Therefore, the figure
is a rectangle.

81.2ab

82.19.3 units

83.24 square units

Name______Date______Class______

Answer Key

Math 2Modules 17

Name______Date______Class______

1. C

2. B

3. A

4. C

5. A

6. B

7. B

8. A No B No C Yes

9. A No B Yes C No D Yes

10. B

11. A

12. B

13. D

14. B

15. B

16. D

17. A

18.105

19.B

20. D

21.35

22.A

23. A No B Yes C No D Yes

24.A Yes B Yes C Yes D No

25. A

26. B

27.39

28. 21F

29.0.4

30.x 35

31.7 sides

32.mS 30; the base angles of an isosceles triangles are congruent. Since R is an obtuse angle, the unknown angles are the acute base angles of the triangle. The sum of the base angles is 180  120  60 so each base angle is equal to 30.

33.The sum of two sides of a triangle must be greater than the third side. Therefore, the third side must be greater than 8  5  3 meters or less than 8  5  13 meters.

34. 1.04

35.6

36.12 cm

37.8

38. 0.18

39.5

40.x 7, y 32