How can finding the slopes of MN and AB help in proving that MN is the midsegment of triangle ABC?
A)
The slopes of MN and AB must be equal for MN to be a midsegment.
B)
The slopes of MN and AB cannot be equal for MN to be a midsegment.
C)
The slopes of MN and AB must be positive for MN to be a midsegment.
D)
The slopes of MN and AB must be negative reciprocals for MN to be a midsegment.

Question

How can finding the slopes of MN and AB help in proving that MN is the midsegment of triangle ABC?
A)
The slopes of MN and AB must be equal for MN to be a midsegment.	
B)
The slopes of MN and AB cannot be equal for MN to be a midsegment.	
C)
The slopes of MN and AB must be positive for MN to be a midsegment.	
D)
The slopes of MN and AB must be negative reciprocals for MN to be a midsegment.

directrix · Answer

This problem is, I think, a spin-off of the Geometry theorem:

The segment joining the midpoints of two sides of a triangle is parallel to the third side of the triangle and has measure half that of the third side. 

@Saylilbaby