State Mid-point theorem and its converse. [GR 9]
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We conclude that the line joining the mid-point of two sides of a triangle is equal to half the length of the third side. The converse of this theorem states: If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.
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Mid point 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.
Converse :
If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.
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