Question

The coordinates of midpoint M and endpoint E of a segment are M(35, –3) and E(15, 26). Students were asked to find two equations that could be used to find the coordinates of the other endpoint, F(x2, y2).

Josiah set up the equations as follows:







Which statement best describes Josiah’s work?

The −3 and 35 should be switched.
The 15 and 26 should be switched.
The equations should be
The equations are correct.

Answer 1

The equations are correct.

Using 35 = (15 + x2)/2 and −3 = (26 + y2)/2 gives x2 = 55 and y2 = −32, so the other endpoint is F(55, −32).