Find the point that partitions a segment AB where A (-2, -6) and B (6, 12) into two equal parts.

The midpoint for any segment/line when you're given the start and end point of the line as A=(x1,y1) and B=(x2,y2) is

(   ((x1 + x2) /2), ((y1 + y2)/2)   )

So here the point is

(  (-2+6)/2), (-6+12)/2)  )

= (2, 3)

So it's the second option

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.