Question

find the coordinates of T given that S is the midpoint of RT,R(-4,2) and S(6,8)

Answer 1

S is mid point of RT.

R(x₁ , y₁) = (-4, 2) T(x₂, y₂) = (x, y)

Mid point between the points = [(x₁+ x₂)/2 , (y₁ + y₂)/2]

                                       (6,8) = [(- 4 + x)/2 , (2 + y)/2]

(- 4 + x)/2 = 6 and (2 + y)/2 = 8

- 4 + x = 12 and 2 + y = 16

x = 16 and y = 14

Coordinates of T(16, 14)