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 proof is incomplete.

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 proof is incomplete.

12g · Answer

Statement	Reason
The coordinates of point D are (4, 5) and coordinates of point E are (5, 3)	By the midpoint formula
Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5	By the distance formula
Segment DE is half the length of segment AC	 
Slope of segment DE is −2 and slope of segment AC is −2	By the slope formula
Segment DE is parallel to segment AC	Slopes of parallel lines are equal

12g · Answer

Which of the following completes the proof?
 By definition of congruence
 Converse of corresponding angles postulate
 By substitution
 By construction

12g · Answer

someone plz help

12g · Answer

@Artteam12