Question

POSP(3,-4)M(1,3)Qi??)ºpThe midpoint M and one endpoint of PQ are given.Find the coordinates of the other endpoint.Q1

Answer 1

P = (3,-4)

M = (1,3)

Q = (Qx,Qy)

Midpoint = (x1+x2)/2 , (y1+y2)/2

Mx = (Px+Qx) /2

1= (3+Qx) /2

Solve for Qx

1 (2) = 3+Qx

2 = 3 +Qx

2-3 = Qx

Qx= -1

My = (y1+y2) /2

3 = (-4+Qy) /2

Solve for QY

3 (2) = -4+Qy

6= -4 + Qy

6+4 = Qy

10 = Qy

Coordinates of the Endpoint Q:

Q = (-1,10)