AnswersEAP-Geometry B CRTrapezoids and Kites

Trapezoids and Kites — Unit test Answers

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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
23
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In the diagram, DG ∥ EF.

Question illustration
A
DE ≅ GF
B
DE ≅ DG
C
EF ≅ DG
D
EF ≅ GF
24

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

Question illustration
A
corresponding parts of congruent triangles are congruent
B
corresponding parts of similar triangles are congruent
C
diagonals of a kite are congruent
D
adjacent sides of a kite are congruent
25

On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4), and point Z is at (negative 3, negative 2).

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
26

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
27

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4).

Question illustration
A
+ units
Option A
B
units
Option B
C
+ units
Option C
D
units
Option D
28

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.

Question illustration
A
45°
B
65°
C
115°
D
135°
29

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of each side, and then add the lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
30

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
31

Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches.

Question illustration
A
30 inches
B
39 inches
C
inches
Option C
D
inches
Option D
32

On a coordinate plane, parallelogram K L M N shown. Point K is at (7, 7), point L is at (5, 3), point M is at (1, 1), and point N is at (3, 5).

Question illustration
A
The midpoint of both diagonals is (4, 4).
B
The length of KM is and the length of NL is .
Option B
C
The slopes of LM and KN are both and NK = ML = .
Option C
D
The slope of KM is 1 and the slope of NL is –1.
33

On a coordinate plane, trapezoid J K L M is shown. Point J is at (negative 7, 4), point K is at (negative 4, 4), point L is at (negative 2, 3), and point M is at (negative 8, 3).

Question illustration
A
+ units
Option A
B
2 + + units
Option B
C
9 + units
Option C
D
9 + + units
Option D
34

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
35

In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in.

Question illustration
A
6 in.
B
7 in.
C
8 in.
D
9 in.
36

On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is at (1, 6).

Question illustration
A
The length of SP, PQ, RQ, and SR are each 5.
B
The slope of SP and RQ is and the slope of SR and PQ is .
Option B
C
The length of SQ and RP are both .
Option C
D
The midpoint of both diagonals is , the slope of RP is 7, and the slope of SQ is .
Option D
37

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
38

On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5).

Question illustration
A
∠M is a right angle and MK bisects ∠LMJ.
B
LM = JM = 3 and JK = LK = .
Option B
C
MK intersects LJ at its midpoint.
D
The slope of MK is –1 and the slope of LJ is 1.
39

Which angle measures are correct? Select three options.

A
m∠X = 55°
B
m∠W = 125°
C
m∠W = 55°
D
m∠Z = 125°
E
m∠Z = 55°
40

On a coordinate plane, triangle A B C is shown. Point A is at (3, 4), point B is at (negative 5, negative 2), and point C is at (5, negative 2).

Question illustration
A
10 units
B
10 + units
Option B
C
20 units
D
20 + units
Option D
41

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).

Question illustration
A
(1,−1)
B
(1,1)
C
(1,0)
D
(0,1)

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