Answer:
A, C, D, E
Explanation:
to find the midpoint use the formula ((x1 + x2)/2, (y1 + y2)/2) so the midpoint is ((9+15)/2, (5+2)/2) or (12, 3.5) so A is true
next, to find the slope of the perpendicular bisector we need the slope of segment AB. the formula for slope is ((y2-y1)/(x2-x1)), plug in the points to get (2-5)/(15-9)= -3/6 = -1/2. since the slope of AB is -1/2, D is true.
the slope of the perpendicular bisector is the negative reciprical or AB's slope. so the slope of the perpendicular bisector is 2, so C is true and therefore B isn't true
e is true since the endpoints, midpoint, and point on the perpendicular bisector make a right triangle. these triangles are congruent by SAS so the distances are also equal