Week 7: Properties of Special Parallelograms Answers

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Claire is designing a banner that will hang in her classroom. The length of one diagonal of the banner is 48 inches, and the sides are 25 inches long. Is the banner a square?

A
It is not a square because opposite angles are not congruent.
B
It is not a square because the angles at the vertices are not right angles.
C
It is a square because all the sides are congruent.
D
It is a square because the diagonals are perpendicular.
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Given: Parallelogram LMNO; MO ⊥ LN

Answers:
♣::All right angles are congruent.
♦::reflexive property
♠::Opposite sides of a parallelogram are congruent.
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transitive propertysubstitution property✔ reflexive propertysymmetric property

A
transitive property
B
substitution property
C
✔ reflexive property
D
symmetric property
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Opposite angles of a parallelogram are congruent.✔ Opposite sides of a parallelogram are congruent.Diagonals of a parallelogram are congruent.X 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
X Diagonals of a parallelogram bisect each other.
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Given: Parallelogram LMNO; MO ⊥ LN

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

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