Unit Test — Cumulative exam Answers

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Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

Question illustration
A
32 units
B
44 units
C
56 units
D
64 units
62
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A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

Question illustration
A
50
B
55
C
125
D
145
63

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).

Question illustration
A
units
Option A
B
12 units
C
units
Option C
D
20 units
64

Consider kite FGHJ.

Question illustration
A
a = 14, b = 6
B
a = 14, b = 8
C
a = 17, b = 6
D
a = 17, b = 8
65

What is true about △ABC? Select three options

A
AB ⊥ AC
B
The triangle is a right triangle.
C
The triangle is an isosceles triangle.
D
The triangle is an equilateral triangle.
E
BC ∥ AC
66

Figure PQRS is a parallelogram.

Question illustration
A
∠P = 20°; ∠S = 160°
B
∠P = 40°; ∠S = 140°
C
∠P = 140°; ∠S = 40°
D
∠P = 160°; ∠S = 20°
67

Triangle ABC is similar to triangle LMN, which is formed using LM, as shown.

Question illustration
A
(3,4)
B
(4,–3)
C
(–3,4)
D
(4,3)
68

Angle KLM and angle MLN are a linear pair.

Question illustration
A
Angles RLN and MLK would be vertical angles.
B
Angles RLN and MLN would be vertical angles.
C
Angles RLN and KLM would be a linear pair.
D
Angles RLN and KLN would be a linear pair.
69

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.

Question illustration
A
20°
B
60°
C
80°
D
100°
70

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
71

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

Question illustration
A
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
B
WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.
C
WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.
D
WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

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