AnswersOH-Geometry BSpecial Parallelograms

Special Parallelograms Answers

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115703
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Use the diagram to answer the questions.

Answers:
The length of AB is .:12
The length of BC is .:5
The length of AC is .:13
115704

✔ 5121317

A
✔ 5
B
12
C
13
D
17
115705

512✔ 1317

A
5
B
12
C
✔ 13
D
17
115706

⇒ 34

Answer:

34

115707

Use the diagram of rhombus LMNO to find the missing measures.

Answers:
The measure of ∠LPM is °.:90
The measure of ∠PMN is °.:51
The length of LN is units.:10
115708

45✔ 5190102

A
45
B
✔ 51
C
90
D
102
115709

5✔ 1025102

A
5
B
✔ 10
C
25
D
102
115710

✔ ABAEAC

Answers:
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to:AB
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to:reflexive property
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to:BE
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to:SSS
We are given that ABCD is a square. If we consider triangle AEB and triangle AED, we see that side is congruent to side AD because sides of a square are congruent. We know that side AE is congruent to:definition of perpendicular
115711

symmetric propertyaddition property✔ reflexive property

A
symmetric property
B
addition property
C
✔ reflexive property
115712

ADAB✔ BE

A
AD
B
AB
C
✔ BE
115713

✔ SSSSASAAS

A
✔ SSS
B
SAS
C
AAS
115714

definition of right angles✔ definition of perpendiculardefinition of diagonal

A
definition of right angles
B
✔ definition of perpendicular
C
definition of diagonal
115715

Given: Parallelogram LMNO; MO ⊥ LN

Answers:
♣::All right angles are congruent.
♦::reflexive property
♠::Opposite sides of a parallelogram are congruent.
115716

transitive propertysubstitution property✔ reflexive propertysymmetric property

A
transitive property
B
substitution property
C
✔ reflexive property
D
symmetric property
115717

Opposite angles of a parallelogram are congruent.✔ Opposite sides of a parallelogram are congruent.Diagonals of a parallelogram are congruent.Diagonals of a parallelogram bisect each other.

A
Opposite angles of a parallelogram are congruent.
B
✔ Opposite sides of a parallelogram are congruent.
C
Diagonals of a parallelogram are congruent.
D
Diagonals of a parallelogram bisect each other.
115718

Given: ABCD is a rectangle. Prove: ABCD has congruent diagonals.

Answers:
♣ =:parallelogram side theorem
♦ =:SAS
♠ =:CPCTC
115719

✔ SASAASCPCTC

A
✔ SAS
B
AAS
C
CPCTC
115720

✔ CPCTCSASAAS

A
✔ CPCTC
B
SAS
C
AAS

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