Provide the missing statements abd nissing reasons for the proof of this theorem.“If both pairs of opposite sides of a quadrilateral are congruent, the quadrilateral is a parallelogram.”Given: Quad. MNPQ; and Prove: MNPQ is a parallelogramS1. R1. GivenS2. Draw diagonal R2.S3. R3. IdentityS4. R4. SSSS5. R5.S6. R6. If 2 lines are cut by a trans. so that alternate interior anglesare congruent, these lines are parallel.S7. R7.S8. R8.S9. R9.

What will be an ideal response?


S1. Quad. MNPQ; and

R2. Through 2 points, there is exactly one line.

S3.

S4.

R5. CPCTC

S6.

R7. CPCTC

R8. Same as reason 6

S9. MNPQ is a parallelogram

R9. Definition of parallelogram


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