AnswersOH-Geometry BSpecial Parallelograms

Trapezoids and Kites Answers

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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.

A
The diagonals of an isosceles trapezoid are congruent.
B
The bases of a trapezoid are parallel.
C
The adjacent sides of a trapezoid are congruent.
D
Base angles of a trapezoid are congruent.
E
The diagonals of a trapezoid are perpendicular.
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Use the diagram to find the missing measures.

Answers:
The measure of angle GHE is °.:62
The length of GE is .:15
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✔ 153062118

A
✔ 15
B
30
C
62
D
118
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22.632.6292.6✔ 112.6

Answers:
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
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2580✔ 10585

A
25
B
80
C
✔ 105
D
85
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congruent✔ isosceles trapezoidcongruent triangles

Answers:
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
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✔ FEHFEGFHE

A
✔ FEH
B
FEG
C
FHE
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HE✔ GHEHEG

A
HE
B
✔ GHE
C
HEG
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congruency✔ reflexivesubstitution

A
congruency
B
✔ reflexive
C
substitution
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AASSSS✔ SAS

A
AAS
B
SSS
C
✔ SAS
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Use the diagram to find the missing measures.

Answers:
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
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congruentparallel✔ perpendicular

A
congruent
B
parallel
C
✔ perpendicular
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congruency✔ reflexivesubstitution

A
congruency
B
✔ reflexive
C
substitution
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AAS✔ HLSAS

A
AAS
B
✔ HL
C
SAS

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