Answers OH-Geometry BParallelograms

Trapezoids and Kites Answers

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The diagram shows quadrilateral MNPQ.

8 units

10 units

11 units

15 units

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Given: JKLM is an isosceles trapezoid, KL ∥ JMProve: KM ≅ JL

definition of linear pair

definition of congruence

base angles theorem

sufficient base angles theorem

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

50°

65°

80°

130°

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.

49°

99°

106°

155°

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.

x=15

x=20

x=45

x=60

If quadrilateral PQRS is a kite, which statements must be true? Select three options

QP ≅ QR

PM ≅ MR

QR ≅ RS

∠PQR ≅ ∠PSR

∠QPS ≅ ∠QRS

Which quadrilateral is a kite?

Quadrilateral A B C D is shown. Sides B C and C D are congruent. Sides A B and A D have different lengths.

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.

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.

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.

A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.

54°

72°

108°

144°

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.

45°

65°

115°

135°

Consider kite ABCD.

x = 2, y = 22

x = 2, y = 44

x = 5, y = 22

x = 5, y = 44

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Trapezoids and Kites Answers

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