Based on the information given, can you prove that the quadrilateral is a parallelogram? The diagram is not drawn to scale.
Given: Triangle ABC is congruent to triangle CDA
a. Yes. Since CPCTC, both pairs of the opposite sides of the quadrilateral are congruent. Therefore, the quadrilateral is a parallelogram.
b. No. We cannot determine if the pairs of opposite sides of the quadrilateral are parallel.
c. No. We are only given one diagonal and therefore cannot determine if the diagonals bisect each other.

Question

Based on the information given, can you prove that the quadrilateral is a parallelogram? The diagram is not drawn to scale.
Given: Triangle ABC is congruent to triangle CDA
a. Yes. Since CPCTC, both pairs of the opposite sides of the quadrilateral are congruent. Therefore, the quadrilateral is a parallelogram.
b. No. We cannot determine if the pairs of opposite sides of the quadrilateral are parallel.
c. No. We are only given one diagonal and therefore cannot determine if the diagonals bisect each other.

anonymous · Answer

d. Yes. Since the triangles are congruent, the diagonal is congruent to itself. Therefore, the quadrilateral is a parallelogram.

anonymous · Answer

And the image....

anonymous · Answer

Can someone please help me with this?