Proving a Quadrilateral Is a Parallelogram

Question 1

Question 1

Revolt · Accepted Answer

115530

Question 2

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

Revolt · Accepted Answer

C: 31 units

Question 3

Question 3

Revolt · Accepted Answer

115534

Question 4

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

Revolt · Accepted Answer

A: ML ∥ NO; C: LO ≅ MN

Question 5

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

A: ONM

Question 6

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

Revolt · Accepted Answer

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

Question 7

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

Revolt · Accepted Answer

A: It cannot be determined from the information given.

Question 8

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

Revolt · Accepted Answer

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

Question 9

Question 9

Revolt · Accepted Answer

A: NOM

Question 10

Question 10

Revolt · Accepted Answer

A: alternate interior angles

Proving a Quadrilateral Is a Parallelogram Answers

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