AnswersCR CCSS Math 2 S2 M2960OXProving a Quadrilateral Is a Parallelogram

Proving a Quadrilateral Is a Parallelogram Answers

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115530

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✔ NOMMNOONM

A
✔ NOM
B
MNO
C
ONM
3

✔ alternate interior anglesalternate exterior anglescorresponding angles

A
✔ alternate interior angles
B
alternate exterior angles
C
corresponding angles
4

What must the length of segment AD be for the quadrilateral to be a parallelogram?

A
8 units
B
16 units
C
31 units
D
62 units
5

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Answer:

115534

6

Given: RW ≅ WT; UW ≅ WS

Answers:
♣ =:vertical angles theorem
♦ =:SAS
♠ =:CPCTC
7

What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply.

A
ML ∥ NO
B
ML ⊥ LO
C
LO ≅ MN
D
ML ≅ LO
E
MN ⊥ NO
8

Question text not available

Answers:
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:ONM
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:NOM
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:alternate interior angles
9

✔ ONMMNONOM

Answers:
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:ONM
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:NOM
Complete the paragraph proof. We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △. By CPCTC, ∠LMO ≅:alternate interior angles
10

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.
11

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.
12

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.

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