Proving a Quadrilateral Is a Parallelogram

Question 1

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

Revolt · Accepted Answer

31 units

Question 2

✔ SASASACPCTC

Revolt · Accepted Answer

✔ SAS

Question 3

✔ CPCTCSASASA

Revolt · Accepted Answer

✔ CPCTC

Question 4

⇒ 3

Revolt · Accepted Answer

115530

Question 5

Given: RW ≅ WT; UW ≅ WS

Revolt · Accepted Answer

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

Question 6

✔ NOMMNOONM

Revolt · Accepted Answer

✔ NOM

Question 7

⇒ 105

Revolt · Accepted Answer

115534

Question 8

Given: RW ≅ WT; UW ≅ WS

Revolt · Accepted Answer

✔ vertical angles theorem; ♣ =: vertical angles theorem; ♦ =: SAS; ♠ =: CPCTC

Question 9

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 10

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.

Proving a Quadrilateral Is a Parallelogram Answers

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