Mathematics

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and…

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.
  • A.
    (0,-2) and (-1, -4)
  • B.
    (-1,0) and (-1,-1)
  • C.
    (-2,1) and (0,1)
  • D.
    (-2,1) and (-1,-4)
Correct Answer: Option D
Explanation

Midpoint of PQ (frac{x_2 + x_1}{2};frac{y_2 + y_1}{2}\
=frac{-1+(-3)}{2};frac{6-4}{2}\
=frac{-4}{2};frac{2}{2}\
=-2,1)
Midpoint of QR = (frac{x_2 + x_1}{2};frac{y_2 + y_1}{2}\
frac{-3+1}{2};frac{-4-4}{2}\
frac{-2}{2};frac{-8}{2}\
-1,-4)
Midpoint of PQ and QR = (-2,1) and (-1,-4)