Figures in the Coordinate Plane Answers
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1
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If quadrilateral PQRS is a kite, which statements must be true? Select three options
A
QP ≅ QRB
PM ≅ MRC
QR ≅ RSD
∠PQR ≅ ∠PSRE
∠QPS ≅ ∠QRS2
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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 feetB
24 feet, 30 feet, 30 feetC
26 feet, 26 feet, 26 feetD
30 feet, 48 feet, 48 feet3
Given: JKLM is an isosceles trapezoid, KL ∥ JMProve: KM ≅ JL
A
definition of linear pairB
definition of congruenceC
base angles theoremD
sufficient base angles theorem4
Right trapezoid WXYZ is shown.
A
73°B
90°C
107°D
163°5
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
A
54°B
72°C
108°D
144°6
The diagram shows quadrilateral MNPQ.
A
8 unitsB
10 unitsC
11 unitsD
15 units7
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 centimeters8
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.
10
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.
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