AnswersEAP-Geometry B CRTrapezoids and Kites

Trapezoids and Kites Answers

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Trapezoid A B C D is shown. Sides A B and D C are parallel. Sides A D and B C are congruent. Angle B is (3 x) degrees and angle D is (9 x) degrees.

Question illustration
A
x=15
B
x=20
C
x=45
D
x=60
2
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Which quadrilateral is a kite?

A
Quadrilateral A B C D is shown. Sides B C and C D are congruent. Sides A B and A D have different lengths.
Option A
B
Quadrilateral E F G H is shown. Angles E and G are congruent. Sides E F and F G are congruent. Sides G H and E H are congruent.
Option B
C
Quadrilateral J K L M is shown. Sides K L and J M are parallel. The lengths of J K and L M are congruent. Angles J and M are congruent.
Option C
D
Quadrilateral N O P Q is shown. Sides O P and N Q are parallel. Sides O N and P Q are parallel. Angles P and N are congruent.
Option D
3

Consider kite ABCD.

Question illustration
A
x = 2, y = 22
B
x = 2, y = 44
C
x = 5, y = 22
D
x = 5, y = 44
4

Right trapezoid WXYZ is shown.

Question illustration
A
73°
B
90°
C
107°
D
163°
5

Which quadrilateral is a trapezoid?

A
Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.
Option A
B
Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.
Option B
C
Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.
Option C
D
Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.
Option D
6

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

Question illustration
A
54°
B
72°
C
108°
D
144°
7

A kite has a perimeter of 108 feet. One of the longer sides measures 30 feet. What are the lengths of the other three sides?

A
24 feet, 24 feet, 30 feet
B
24 feet, 30 feet, 30 feet
C
26 feet, 26 feet, 26 feet
D
30 feet, 48 feet, 48 feet
8

Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees.

Question illustration
A
16 units
B
18 units
C
40 units
D
45 units
9

A kite has a perimeter of 70 centimeters. One of the shorter sides measures 16 centimeters. What are the lengths of the other three sides?

A
16 centimeters, 16 centimeters, and 19 centimeters
B
16 centimeters, 19 centimeters, and 19 centimeters
C
16 centimeters, 38 centimeters, and 38 centimeters
D
18 centimeters, 18 centimeters, and 18 centimeters
10

The diagram shows quadrilateral MNPQ.

Question illustration
A
8 units
B
10 units
C
11 units
D
15 units

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Lesson 7.4: Trapezoids and Kites