ABCD is a parallelogram. E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE
Accepted Solution
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Answer:Step-by-step explanation:Given that ABCD is a parallelogram. E is the point where the diagonals AC and BD meet.Consider triangles ABE and CDEStatement Reason--------------------------------------------------------------------1) AB =CD Opposite sides of a parallelogram2) Angle ABE = Angle EDC Alternate angles of two parallel lines3) BE = DE Diagonals bisect each other in a parallelogramHence by SAS axiom the two triangles are congruent.