Question 34

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Jambmaths question: 

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

Option A: 

(0, –2) and (–1, –4)

Option B: 

(–1,0) and (–1, –1)

Option C: 

(–2,1) and (0,1)

Option D: 

(–2,1) and (–1, –4)

Jamb Maths Solution: 

$\begin{align}  & \text{Midpoint }coordinate=\left( \frac{{{x}_{1}}+{{x}_{2}}}{2},\frac{{{y}_{1}}+{{y}_{2}}}{2} \right) \\ & \text{midpoint of }PQ=\left( \frac{-1-3}{2},\frac{6-4}{2} \right)=(-2,1) \\ & \text{midpoint of }QR=\left( \frac{-3+1}{2},\frac{-4-4}{2} \right)=(-1,-4) \\ & \text{option D} \\\end{align}$ 

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