Question

Answer:

A) Yes, if the diagonals of a quadrilateral bisect each other then the quadrilateral is a
Parallelogram

B) Yes if both pairs of opposite sides of a quadrilateral are congruent

C) Yes, if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram

D) Not enough information is given

Answer 1

D) Not enough information is given

Explanation:

For it to be a parallelogram, MN and PQ should be equal in length.

Angles P and M should be equal

Angles N and Q should be equal.

But no such information is provided

Answer 2

D. Not enough info

Angles N and P are supplementary (125º + 55º = 180º) but this doesn't tell us anything about the measures of angles M and Q. The edge MQ of the quadrilateral is not guaranteed to be parallel to NP.

For example, we can move vertex M anywhere along MN and still preserve the measures of angles N and P.