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