Proving a Quadrilateral Is a Parallelogram

Question 1

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 2

⇒ 3

Revolt · Accepted Answer

115530

Question 3

Given: RW ≅ WT; UW ≅ WS

Revolt · Accepted Answer

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

Question 4

✔ SASASACPCTC

Revolt · Accepted Answer

✔ SAS

Question 5

✔ CPCTCSASASA

Revolt · Accepted Answer

✔ CPCTC

Question 6

⇒ 105

Revolt · Accepted Answer

115534

Question 7

✔ ONMMNONOM

Revolt · Accepted Answer

✔ 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 ≅: 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 8

✔ NOMMNOONM

Revolt · Accepted Answer

✔ NOM

Question 9

✔ alternate interior anglesalternate exterior anglescorresponding angles

Revolt · Accepted Answer

✔ alternate interior angles

Proving a Quadrilateral Is a Parallelogram Answers

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