Unit Test — Unit test Answers

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Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

Question illustration
A
48o
B
56o
C
93o
D
101o
2
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Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.

Question illustration
A
11 ft
B
15 ft
C
21 ft
D
23 ft
3

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A
10.6 cm
B
14.0 cm
C
15.0 cm
D
19.8 cm
4

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

A
BC ∥ AD
B
BD ⊥ AC
C
BA ≅ CD
D
BE ≅ ED
E
∠CBA ≅ ∠BCD
5

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

Question illustration
A
36°
B
40°
C
45°
D
60°
6

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.

Question illustration
A
98°
B
108°
C
118°
D
128 °
7

Parallelogram R S T U is shown. Angle S is 70 degrees.

Question illustration
A
m∠R = 70°, m∠T = 110°, m∠U = 110°
B
m∠R = 110°, m∠T = 110°, m∠U = 70°
C
m∠R = 110°, m∠T = 70°, m∠U = 110°
D
m∠R = 70°, m∠T = 110°, m∠U = 70°
8

Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees.

Question illustration
A
x = 23
B
x = 35
C
x = 58
D
x = 93
9

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Question illustration
A
14
B
15
C
16
D
17
10

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

Question illustration
A
∠M is supplementary to ∠O
B
∠N is supplementary to ∠P
C
∠M ≅ ∠P
D
∠N ≅ ∠P
11

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
12

Trapezoid A B C D is shown. A diagonal is drawn from point B to point D. Sides B C and A D are parallel. Sides B A and C D are congruent. Angle C B D is 24 degrees and angle B A D is 116 degrees.

Question illustration
A
24°
B
40°
C
64°
D
92°
13

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
14

A triangle with exterior angles is shown. A horizontal line intersects with a diagonal line. Another line connects the horizontal line to the diagonal line to form a triangle. The exterior angle at the top left of the triangle is 130 degrees. The exterior angle at the top right of the triangle is x degrees. The exterior angle at the bottom of the triangle is 134 degrees.

Question illustration
A
84
B
96
C
132
D
264
15

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?

A
m∠A = 15° and m∠C = 35°
B
m∠A + m∠B = 155°
C
m∠A + m∠C = 60°
D
m∠A = 20° and m∠C = 30°
16

If triangle RST is an acute triangle, then m∠S must be

A
less than 90°.
B
equal to 90°.
C
equal to 100°.
D
greater than 90° and less than 180°.
17

Kite FGHK is shown.

Question illustration
A
m=2
B
m=3
C
m=15
D
m=16
18

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two sides measure 13 cm each. One diagonal, EG, measures 24 cm.

Question illustration
A
5 cm
B
16 cm
C
21 cm
D
32 cm
19

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, andOP = (2x – 1) m.

Question illustration
A
x = 10 m, y = 1 m
B
x = 10 m, y = 2 m
C
x = 11 m, y = 1 m
D
x = 11 m, y = 2 m
20

Polygon A B C D is shown with exterior angles. Exterior angle A is 25 degrees, exterior angle B is 146 degrees, and exterior angle D is 149 degrees.

Question illustration
A
25º
B
40º
C
140º
D
155º

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