State and prove the Mid point theorom?
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The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
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To verify the mid-point theorem for a triangle.
Theorem : The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Given in the figure A : AP=PB, AQ=QC.
To prove: PQ || BC and PQ=1/2 BC.
Plan: To prove ▲ APQ ≅ ▲ QRC.
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