AnswersEAP-Geometry B CRTrapezoids and Kites

Trapezoids and Kites Answers

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1
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Right trapezoid WXYZ is shown.

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A
73°
B
90°
C
107°
D
163°
2
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The diagram shows quadrilateral MNPQ.

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A
8 units
B
10 units
C
11 units
D
15 units
3

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°
4

If quadrilateral PQRS is a kite, which statements must be true? Select three options

A
QP ≅ QR
B
PM ≅ MR
C
QR ≅ RS
D
∠PQR ≅ ∠PSR
E
∠QPS ≅ ∠QRS
5

A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12.

Question illustration
A
5 units
B
35 units
C
40 units
D
48 units
6

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°
7

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
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

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
10

Kite K L M N is shown. The lengths of sides L M and M N are congruent. The lengths of L K and K N are congruent. Angle K is 99 degrees and angle N is 106 degrees.

Question illustration
A
49°
B
99°
C
106°
D
155°

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