Trapezoids and Kites

Question 1

Which statements are correct regarding the properties of trapezoids? Check all that apply.The diagonals of an isosceles trapezoid are congruent.The bases of a trapezoid are parallel.The adjacent sides of a trapezoid are congruent.Base angles of a trapezoid are congruent.The diagonals of a trapezoid are perpendicular.

Revolt · Accepted Answer

A: The diagonals of an isosceles trapezoid are congruent.; B: The bases of a trapezoid are parallel.

Question 2

What is the length of the sides of kite ABCD?

Revolt · Accepted Answer

B: AB = 15; CD = 20

Question 3

What information would verify that LMNO is an isosceles trapezoid? Check all that apply.

Revolt · Accepted Answer

A: LN ≅ MO; C: LO ≅ MN; E: ∠L ≅ ∠M

Question 4

What are the values of a and b?

Revolt · Accepted Answer

D: a = 8; b = 40

Question 5

Use the diagram to find the missing measures.

Revolt · Accepted Answer

It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see th: kite; It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see th: perpendicular; It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see th: reflexive; It is given that quadrilateral ABCD is a kite. We know that AD ≅ CD by the definition of . By the kite diagonal theorem, AC is to BD This means that angles AED and CED are right angles. We also see th: HL

Question 6

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?

Revolt · Accepted Answer

D: 21 inches

Question 7

congruent✔ isosceles trapezoidcongruent triangles

Revolt · Accepted Answer

B: ✔ isosceles trapezoid

Question 8

✔ kitecongruentquadrilateral

Revolt · Accepted Answer

A: ✔ kite

Question 9

✔ FEHFEGFHE

Revolt · Accepted Answer

A: ✔ FEH

Question 10

congruentparallel✔ perpendicular

Revolt · Accepted Answer

C: ✔ perpendicular

Trapezoids and Kites Answers

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