AnswersEAP-Geometry B CRTrapezoids and Kites

Trapezoids and Kites Answers

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3

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°
4

Right trapezoid WXYZ is shown.

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

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
7

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
8

The diagram shows quadrilateral MNPQ.

Question illustration
A
8 units
B
10 units
C
11 units
D
15 units
9

Given: JKLM is an isosceles trapezoid, KL ∥ JMProve: KM ≅ JL

Question illustration
A
definition of linear pair
B
definition of congruence
C
base angles theorem
D
sufficient base angles theorem
10

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
11

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
12

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
13

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

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