AnswersGeometryTrapezoids and Kites

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1
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What is the measure of angle WXY ?

A
107 degrees
B
90 degrees
C
73 degrees
D
163 degrees
2
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What is the value of x in trapezoid ABCD ?

A
x is equal to 15
B
x is equal to 45
C
x is equal to 60
D
x is equal to 20
3

If line segment KM is drawn on this quadrilateral, what will be its length?

A
40 units
B
16 units
C
18 units
D
45 units
4

What is the measure of angle ADC in quadrilateral ABCD ?

A
65 degrees
B
115 degrees
C
135 degrees
D
45 degrees
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
30 feet, 48 feet, 48 feet
B
26 feet, 26 feet, ​​​​​​​26 feet
C
24 feet, ​​​​​​​30 feet, ​​​​​​​30 feet
D
24 feet, 24 feet, ​​​​​​​30 feet
6

Which quadrilateral is a kite?

A
Image with description Quadrilateral A B C D is shown. Sides B C and C D are congruent. Sides A B and A D have different lengths.
B
Image with description 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.
C
Image with description 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.
D
Image with description Quadrilateral N O P Q is shown. Sides O P and N Q are parallel. Sides N O and Q P are parallel. Angles P and N are congruent.
7

Which quadrilateral is a trapezoid?

A
Image with description 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.
B
Image with description Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.
C
Image with description Quadrilateral J K L M is shown. Sides J K and M L are parallel. Sides K L and J M are parallel.
D
Image with description Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different angle measures.
8

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, 38 centimeters, and 38 centimeters
B
18 centimeters, 18 centimeters, and ​​​​​​​18 centimeters
C
16 centimeters, 19 centimeters, and ​​​​​​​19 centimeters
D
16 centimeters, 16 centimeters, and ​​​​​​​19 centimeters
9

What is the missing reason in step 4?

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

In trapezoid EFGH , line segment EF is congruent to line segment HG What is the measure of the angle between Elm Street and Pine Avenue?

A
108 degrees
B
144 degrees
C
54 degrees
D
72 degrees

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