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MATHEMATICS

JAMB 2003 - Question 34

Mathematics 2003 JAMB Past Questions - Question 34: A triangle has verticles P(-1,6)Q(-3,-4) and R(1,4).Find the midpoints of PQ and QR respectively .

A triangle has verticles P(-1,6)Q(-3,-4) and R(1,4).Find the midpoints 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 Answer

Explanation

To find the midpoint of a line segment, we can use the midpoint formula:Midpoint = ((xâ‚� + xâ‚‚)/2, (yâ‚� + yâ‚‚)/2)Let's find the midpoint of PQ:PQ midpoint = ((-1 + (-3))/2, (6 + (-4))/2) = (-4/2, 2/2) = (-2, 1)Therefore, the midpoint of PQ is (-2, 1).Now, let's find the midpoint of QR:QR midpoint = ((-3 + 1)/2, (-4 + 4)/2) = (-2/2, 0/2) = (-1, 0)Therefore, the midpoint of QR is (-1, 0).The midpoints of PQ and QR are (-2, 1) and (-1, 0) respectively.