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.

A triangle with vertices A is at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE with point D on side AB and point E is on side BC

Statement Reason
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

Question

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.

A triangle with vertices A is at 6, 8. B is at 2, 2. C is at 8, 4. Segment DE with point D on side AB and point E is on side BC

	Statement	Reason
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

anonymous · Answer

@ganeshie8