Trapezoids and Kites

Question 1

What is the length of the sides of kite ABCD?

Revolt · Accepted Answer

AB = 15; CD = 20

Question 2

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

Revolt · Accepted Answer

LN ≅ MO; LO ≅ MN; ∠L ≅ ∠M

Question 3

What are the values of a and b?

Revolt · Accepted Answer

a = 8; b = 40

Question 4

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 5

Use the diagram to find the missing measures.

Revolt · Accepted Answer

✔ 62; The measure of angle GHE is °.: 62; The length of GE is .: 15

Question 6

✔ 153062118

Revolt · Accepted Answer

✔ 15

Question 7

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

21 inches

Question 8

22.632.6292.6✔ 112.6

Revolt · Accepted Answer

✔ 112.6; If the measure of angle BCD is 67.4°, the measure of angle ABC is °.: 112.6; If the length of base AB is 80 feet, the length of DC is feet.: 105

Question 9

2580✔ 10585

Revolt · Accepted Answer

✔ 105

Question 10

congruent✔ isosceles trapezoidcongruent triangles

Revolt · Accepted Answer

✔ isosceles trapezoid; It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of . The base angle theorem of isosceles trapezoids verifies that angle is congruent to angle . We als: isosceles trapezoid; It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of . The base angle theorem of isosceles trapezoids verifies that angle is congruent to angle . We als: FEH; It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of . The base angle theorem of isosceles trapezoids verifies that angle is congruent to angle . We als: GHE; It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of . The base angle theorem of isosceles trapezoids verifies that angle is congruent to angle . We als: reflexive; It is given that trapezoid EFGH is an isosceles trapezoid. We know that FE ≅ GH by the definition of . The base angle theorem of isosceles trapezoids verifies that angle is congruent to angle . We als: SAS

Trapezoids and Kites Answers

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