AnswersEAP-Geometry B CRTrapezoids and Kites

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.
3

HEGHEHEG

A
HE
B
GHE
C
HEG
4

congruencyreflexivesubstitution

A
congruency
B
reflexive
C
substitution
5

AASSSSSAS

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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congruentparallelperpendicular

A
congruent
B
parallel
C
perpendicular
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congruencyreflexivesubstitution

A
congruency
B
reflexive
C
substitution
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AASHLSAS

A
AAS
B
HL
C
SAS
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What is the length of the sides of kite ABCD?

A
AB = 20; CD = 15
B
AB = 15; CD = 20
C
AB = 9; CD = 16
D
AB = 24; CD = 25
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What information would verify that LMNO is an isosceles trapezoid? Check all that apply.

A
LN ≅ MO
B
LM ≅ ON
C
LO ≅ MN
D
∠L ≅ ∠N
E
∠L ≅ ∠M
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What are the values of a and b?

A
a = 4; b = 10
B
a = 4; b = 40
C
a = 8; b = 10
D
a = 8; b = 40
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3162118360

A
31
B
62
C
118
D
360
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22.632.6292.6112.6

A
22.6
B
32.6
C
292.6
D
112.6
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congruentisosceles trapezoidcongruent triangles

A
congruent
B
isosceles trapezoid
C
congruent triangles
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258010585

A
25
B
80
C
105
D
85
116493

FEHFEGFHE

A
FEH
B
FEG
C
FHE
116494

kitecongruentquadrilateral

A
kite
B
congruent
C
quadrilateral

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