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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

A two column proof of the theorem is shown but the statement and reasons are not in correct order.

Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two column proof of the theorem is sh class=

Verified Answer :

Reasons:
I) Segment DE is half the length of segment AC. By substitution

II) Segment DE is parallel to segment AC. Slopes of parallel lines are equal.


III) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint form

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