Question

find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. ( let (x, y) be known in point. apply the endpoint formula, and solve the two equations for x and y) midpoint (16, -18) endpoint A (17,-12) what is endpoint B?

Answer 1

Midpoint = (16, -18)

Endpoint = (17, -12)

Equations

Xm = (x1 + x2) /2 Ym = (y1 + y2) / 2

Solve for X2 Solve for y2

2Xm = x1 + x2 2Ym = y1 + y2

x2 = 2Xm - x1 y2 = 2Ym - y1

Substitution

x2 = 2(16) - 17 y2 = 2(-18) - (-12)

Simplification

x2 = 32 - 17 y2 = -36 + 12

x2 = 15 y2 = -24

Result

Endpoint B = (15, -24)