Question

Find the co-ordinates of midpoint of the segment joining the points P(22, 20) and Q(0, 16).

Answer 1

Let P(22, 20) = (x₁, y₁)

Q(0, 16) = (x₂, y₂)

Let M(x, y) be the midpoint of segment PQ

∴ By midpoint formula,

`x = (x_1 + x_2)/2`

∴ `x = (22 + 0)/2`

∴ x = 11

`y = (y_1 + y_2)/2`

∴ `y = (20 + 16)/2`

∴ y = 18

∴ M(11, 18)

The coordinates of midpoint are (11, 18).