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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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
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

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
5

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
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

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
8

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
9

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
10

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

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Trapezoids and Kites Answers — EAP-Geometry B CR