Download Name Date Class Name Date Class Math One Plus: End-Of

Name _______________________________________ Date __________________ Class __________________
Math One Plus: End-Of-Year Practice Test Modules 16–25
For 45–46, use the graph.
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 PQ?
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50. Use the graph.
45. Which segment is congruent to EF ?
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46. What is the midpoint of GH ?
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Use the following information for 47–48.
In the figure, mKJL  32.
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.
47. What is the value of x?
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48. What is mKJM?
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51. How many lines of symmetry does the
figure have?
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52. What are the angles of rotation less than
360 for the figure?
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Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 16–25
Use the following information for 53–54.
In the figures below, ABC  LNM .
57. In the figure, m2  75.
53. What is the value of x?
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What is m7?
54. What is the value of y?
________________________________________
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Use the graph for 55–56.
58. The measures of two complementary
angles are represented by the
expressions (3x  16) and (5x  18)
Find the value of x.
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59. Write an equation for the line that passes
through (1, 3) and is perpendicular to
1
y  x  5.
2
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55. What transformations can you use to
show that quadrilaterals DEFG and
D'E'F'G' are congruent?
_______________________________________
_______________________________________
60. Write an equation for the line that passes
through (3, 2) and is parallel to
2x  3y  3.
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61. In the figure, the measure of 2 is 55.
56. Express the transformations as a single
mapping rule in the form of
(x, y)  (?, ?).
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What is the measure of 4?
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Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 16–25
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
ABC  XYZ for the given theorem.
63. ASA Theorem
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64. AAS Theorem
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65. Look at the figure below.
66. In the figure, PQ  PS.
Explain why
PQR 
PSR.
________________________________________
________________________________________
67. Use the figure.
Answer True or False for each statement.
A Angle MKL is an exterior angle of
triangle JKM.
True
False
B Angle KML is an exterior angle of
triangle JKM.
True
False
C Angles MKL and KLM are
complementary.
True
False
D x = 35
True
Are triangles DEF and FGH congruent?
Explain why or why not. If the triangles
are congruent, write a congruence
statement.
_______________________________________
_______________________________________
False
68. The sum of the measures of the interior
angles of a regular polygon is 900. How
many sides does the polygon have?
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Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 16–25
69. Triangle RST is an isosceles triangle with
mR  120. What is mS? Explain your
reasoning.
74. In the figure, LP, MP, and NP are
perpendicular bisectors.
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_______________________________________
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?
If LP  5, LH  12, HP  13, and
PM  6, what is PJ?
A 3  x  13
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B 3  x  13
75. In the figure, point W is the incenter of
triangle XYZ.
C x  3 or x  13
D x  3 or x  13
For 71–72, use the figure.
If RW  5 and WY  14, what is WT?
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71. If EG  4, what is GC?
76. ABCD is a quadrilateral with BE  ED
and BCD  DAB.
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72. If AF  15, what is AG?
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73. In the figure, MN is the midsegment of
JKL.
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?
A x  7, y  19
B x  32, y  7
C x  7, y  32
If KM  11 cm and KL  24 cm, what is
KN?
D x  8, y  19
_______________________________________
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Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 16–25
77. State whether each quadrilateral has
congruent diagonals.
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.
A parallelogram
Yes
No
B rhombus
Yes
No
C rectangle
Yes
No
D isosceles trapezoid
Yes
No
________________________________________
E kite
Yes
No
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78. GIJL is a trapezoid with midsegment HK.
81. KLMN is an isosceles trapezoid.
If IJ  18 cm and GL  42 cm, what is HK?
What is the missing x-coordinate of N?
_______________________________________
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79. Triangle PQR is shown in the graph.
Use the following information for 82–83.
The figure is symmetric about the x-axis.
Use the coordinates of the vertices to
determine whether each statement is
True or False.
A Triangle PQR is a right triangle.
True
82. Find the perimeter of the figure. Round to
the nearest tenth.
False
B Triangle PQR is scalene.
True
________________________________________
False
C Triangle PQR is isosceles.
True
83. What is the area of the figure?
False
________________________________________
D Triangle PQR is an acute triangle.
True
False
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Name _______________________________________ Date __________________ Class __________________
Answer Key
End-of-Year Test Modules 16–25
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.
45. AB
46. (3.5, 1.5)
47. x  7
70. A
48. 70
71. 8
49. (1, 1)
72. 10
50. D
73. 12 cm
51. 5
74. 13
52. 72, 144, 216, 288
75. 5
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
2
60. y   x  4
3
61. 35
62. x  9
63. AC  XZ
64. AB  XY or BC  YZ
65. Yes; the figure shows that DF  GF and
EF  HF . DFE and GFH are vertical
angles, so DFE  GFH. Therefore,
DEF  GHF by SAS.
66. It is given that
PQR and
PSR are
right triangles and PQ  PS. PR  PR by
the Reflexive Property, so
PQR  PSR 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
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Name _______________________________________ Date __________________ Class __________________
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,
DE  FG  6 2, EF  DG  2 2, so the
figure has opposite sides that are
congruent. The slope of DE  slope of
GF  1 and slope of EF  slope of
DG  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
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