Question on: JAMB Mathematics - 2003

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)
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Correct Option: D

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)

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