Question

Theorem: The diagonals of a parallelogram bisect each other.

Kim is writing the proof of the theorem using two properties of a parallelogram as shown below.

• The opposite sides of a parallelogram are parallel.
• The opposite sides of a parallelogram are congruent.

A parallelogram ABCD with diagonals AC and BD intersecting at G.

Using the two given properties, Kim can prove that triangle AGB is congruent to triangle CGD using the _________ Postulate.

Answer 1

ASA postulate. angle DGC=angle AGB, angle DCA = angle CAB and DC=AB.

Answer 2

Thank you!