Question

state and prove Converse of midpoint theorem​

Answer 1

Answer:

A line drawn through the midpoint of one side of a traingle parallel to another side bisects the third side.

Step-by-step explanation:

SOLUTION:

Given: A TRIANGLE ABC in which D is tge midpoint of AB and DE//BC, meeting AC at E.

TO PROVE: AR=EC

PROOF: SINCE DE//BC( BY TAHLES THOERAM)

AE/EC=AD/DB=1

=AE/EC=1

=AE=EC

Answer 2

the line drawn through the midpoint of one side of triangle parallel to another side bisect the third side.
if D is given midpoint of AB and DE parallel to BC.
than , by Converse of midpoint theorem E is midpoint of AC.
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