Figures in the Coordinate Plane Answers
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21
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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.
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.
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.
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.
22
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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.
A
5 unitsB
35 unitsC
40 unitsD
48 units23
Given: JKLM is an isosceles trapezoid, KL ∥ JMProve: KM ≅ JL
A
definition of linear pairB
definition of congruenceC
base angles theoremD
sufficient base angles theorem24
The diagram shows isosceles trapezoid LMNP. It also shows how line segment NO was drawn to form parallelogram LMNO.
A
50°B
65°C
80°D
130°25
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 centimetersB
16 centimeters, 19 centimeters, and 19 centimetersC
16 centimeters, 38 centimeters, and 38 centimetersD
18 centimeters, 18 centimeters, and 18 centimeters26
The diagram shows quadrilateral MNPQ.
A
8 unitsB
10 unitsC
11 unitsD
15 units27
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.
B
Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.
C
Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.
D
Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.
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