AnswersPA-Geometry B-CRTrapezoids and Kites

Trapezoids and Kites Answers

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4

Right trapezoid WXYZ is shown.

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

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
6

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
8

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
9

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
10

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

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