can someone answer this geometry question!

Question

A) What is the midpoint of the line segment that joins points (4,-2) and (-2,5)? show work.

B) point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B? show work

Answer 1

Mark is, as usual, correct!

But I will help you with the mid-point formula.

If (a,b) and (c,d) are the co-ordinates of the end points of a line segment, the co-ordinates of the midpoint are [(a+c)/2,(b+d)/2]

This is an application of a theorem from plane geometry which says that a line which bisects one side of a triangle and is parallel to a second side bisects the 3rd side also.