Proving a Quadrilateral Is a Parallelogram Answers

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115530

3

✔ CPCTCSASASA

A
CPCTC
B
SAS
C
ASA
115531

Given: RW ≅ WT; UW ≅ WS

Answers:
♣ =:vertical angles theorem
♦ =:SAS
♠ =:CPCTC
115534

CPCTCalternate interior angles theorem✔ vertical angles theorem

A
CPCTC
B
alternate interior angles theorem
C
vertical angles theorem
115537

Based on the measures shown, could the figure be a parallelogram?

A
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.
B
Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in.
C
No, there are three different values for x when each expression is set equal to 10.
D
No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
115538

Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?

A
It cannot be determined from the information given.
B
It is not a parallelogram because the congruent sides cannot be parallel.
C
It is not a parallelogram because the parallel sides cannot be congruent.
D
It is a parallelogram based on the single opposite side pair theorem.
115539

Which reasons can Travis use to prove the two triangles are congruent? Check all that apply.

A
∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem.
B
WY ≅ WY by the reflexive property.
C
∠ZWY ≅ ∠XWY by the corresponding ∠s theorem.
D
WX ≅ ZY by definition of a parallelogram.
E
WZ ≅ XY by the given.
115541

✔ alternate interior anglesalternate exterior anglescorresponding angles

A
alternate interior angles
B
alternate exterior angles
C
corresponding angles

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