Law of Sines (Sec 8-3) — Unit test Answers

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Given: ABCD is a kite.Prove: BD bisects AC.

Question illustration
c
corresponding parts of congruent triangles are congruent
c
corresponding parts of similar triangles are congruent
d
diagonals of a kite are congruent
a
adjacent sides of a kite are congruent
23

Kite ABCD represents a softball field that is being built.

Question illustration
A
40 meters
B
70 meters
C
140 meters
D
218 meters
24

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

Question illustration
A
20°
B
30°
C
40°
D
50°
26

Statements

Question illustration
△
△RTS ≅ △VTU and △RTU ≅ △VTS
△
△RTS ≅ △RVS and △RTU ≅ △STV
△
△VRS ≅ △VRU and △USR ≅ △USV
△
△VUR ≅ △VUS and △UVS ≅ △SRU
28

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
29

Statements

Question illustration
a
all sides of a square are congruent
a
all right angles measure 90°
d
definition of diagonal
d
definition of perpendicular
32

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
33

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
34

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

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

A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Question illustration
A
5.375
B
5.5
C
11
D
13
36

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

Question illustration
A
2 cm
B
5 cm
C
6 cm
D
9 cm

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