Chapter 7 Unit TEST: Quadrilaterals and Other Polygons Answers

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25

The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°

A
Yes, opposite angles R and T are congruent to each other if x = 35.
B
Yes, consecutive angles R and S are congruent to each other if x = 35.
C
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
D
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
29

In the diagram, WZ=.

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u
units
Option u
u
units
Option u
u
units
Option u
u
units
Option u
30

Question text not available

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2
20°
3
30°
4
40°
5
50°
31

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (5, 1), point Q is at (6, 4), point R is at (3, 10), and point S is at (2, 7).

Question illustration
A
The slopes of SP and RQ are both –2 and SP = RQ = .
Option A
B
The slopes of RS and QP are both 3 and SP = RQ = .
Option B
C
The midpoint of RP is and the slope of RP is .
Option C
D
The midpoint of SQ is and SQ = 5.
Option D
32

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm.What are the lengths of two adjacent sides of the parallelogram?

A
2 cm and 2 cm
B
4 cm and 7 cm
C
7 cm and 9 cm
D
13 cm and 19 cm
33

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

Question illustration
A
congruent triangles
B
similar triangles
C
congruent rectangles
D
similar rectangles
34

Kite ABCD represents a softball field that is being built.

Question illustration
A
40 meters
B
70 meters
C
140 meters
D
218 meters
35

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

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A
35°
B
75°
C
105°
D
155
Option D
36

The diagram shows the shape of a plot of land that Maria will use for her garden.

Question illustration
A
18 feet
B
30 feet
C
36 feet
D
42 feet

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