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

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.
Answer Details
To find the midpoint of a line segment, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is ((x1 + x2)/2, (y1 + y2)/2). Using this formula, we can find the midpoint of PQ by plugging in the coordinates of P and Q: Midpoint of PQ = ((-1 - 3)/2, (6 - 4)/2) = (-2, 1) Similarly, we can find the midpoint of QR by plugging in the coordinates of Q and R: Midpoint of QR = ((-3 + 1)/2, (-4 - 4)/2) = (-1, -4) Therefore, the correct answer is: (-2,1) and (-1,-4)

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