Proving a Quadrilateral Is a Parallelogram

Question 1

⇒ 3

Revolt · Accepted Answer

115530

Question 2

✔ NOMMNOONM

Revolt · Accepted Answer

NOM

Question 3

✔ alternate interior anglesalternate exterior anglescorresponding angles

Revolt · Accepted Answer

alternate interior angles

Question 4

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

Revolt · Accepted Answer

31 units

Question 5

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

Revolt · Accepted Answer

ML ∥ NO; LO ≅ MN

Question 6

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 ≅ ∠ and ∠NMO ≅ ∠LOM. Both pairs of angles are also , based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.

Revolt · Accepted Answer

ONM; Selection 1: ONM; Selection 2: NOM; Selection 3: alternate interior angles

Question 7

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

Revolt · Accepted Answer

Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.

Question 8

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

Revolt · Accepted Answer

It cannot be determined from the information given.

Question 9

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

Revolt · Accepted Answer

∠ZWY ≅ ∠XYW by the alternate interior ∠s theorem.; WY ≅ WY by the reflexive property.; WZ ≅ XY by the given.

Question 10

Question 10

Revolt · Accepted Answer

105

Proving a Quadrilateral Is a Parallelogram Answers

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