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 CDE
Statement Reason
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1) AB =CD Opposite sides of a parallelogram
2) Angle ABE =
Angle EDC Alternate angles of two parallel lines
3) BE = DE Diagonals bisect each other in a parallelogram
Hence by SAS axiom the two triangles are congruent.
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Answers & Comments
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 CDE
Statement Reason
--------------------------------------------------------------------
1) AB =CD Opposite sides of a parallelogram
2) Angle ABE =
Angle EDC Alternate angles of two parallel lines
3) BE = DE Diagonals bisect each other in a parallelogram
Hence by SAS axiom the two triangles are congruent.