Answers2026-2027_MDCPS_1206315_Geometry Sem 2Trapezoids and Kites

Trapezoids and Kites Answers

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1
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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
2
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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°
3

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
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

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
6

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
7

The diagram shows quadrilateral MNPQ.

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

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
9

Right trapezoid WXYZ is shown.

Question illustration
A
73°
B
90°
C
107°
D
163°
10

The diagram shows isosceles trapezoid LMNP. It also shows how line segment NO was drawn to form parallelogram LMNO.

Question illustration
A
50°
B
65°
C
80°
D
130°
11

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
12

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
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
14

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°
15

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°
16

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
17

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
18

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
19

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°
20

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°

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