Question

Identify the correct two-column proof. PLEASE HELP ASAP!! I need to raise my geometry grade!!

Given: LMNO, OPQR, and QUTS are parallelograms.

L, O, and P are collinear.

N, O, and R are collinear.

S, Q, and R are collinear.

P, Q, and U are collinear.

Prove: ∠M≅∠4

Answer 1

Option A is correct

Explanation:

It is given that LMNO, OPQR, QUTS are parallelograms and L, O, and P are collinear, N, O, and R are collinear., S, Q, and R are collinear, P, Q, and U are collinear.

Thus, ∠M=∠1(Because they are opposite angles of parallelogram LMNO), ∠1=∠2 (as they are vertically opposite angles). Again ∠2=∠3(Because they are opposite angles of parallelogram ROPQ), ∠3=∠4 (as they are vertically opposite angles).

Thus, ∠M=∠1=∠2=∠3=∠4⇒∠M=∠4

Hence proved.

Hence, option A is correct as it has the same conditions used above.