Answers 25-26 FL-1206315-Geometry for Course Recovery S2Special Parallelograms

Trapezoids and Kites Answers

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

50°

65°

80°

130°

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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?

24 feet, 24 feet, 30 feet

24 feet, 30 feet, 30 feet

26 feet, 26 feet, 26 feet

30 feet, 48 feet, 48 feet

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.

16 units

18 units

40 units

45 units

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

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°

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°

Which quadrilateral is a trapezoid?

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.

Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.

Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.

Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.

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

definition of linear pair

definition of congruence

base angles theorem

sufficient base angles theorem

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.

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Trapezoids and Kites Answers

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