Question

Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

Answer 1

P(0, 6)          Q(12, 20)

   ↓                      ↓
(x₁, y₁)           (x₂, y₂)
Let co-ordinates of midpoint be (x, y)
By formula for midpoint.,
`x =( x_1+ x_2)/2`
= `(0+12)/2`
= `12/2   = 6`

 

y = `(y_1+y_2)/2`
y = `(6+20)/2`
= `26/2`
= 13
∴ PQ co-ordinates of midpoint of segment PQ are(6, 13)