Question

Find coordinates of midpoint of the segment joining points (0, 2) and (12, 14)

Answer 1

Let A(x₁, y₁) = A(0, 2), B (x₂, y₂) = B(12, 14)

Let the co-ordinates of the midpoint be P(x, y).

∴ By midpoint formula,

x = `(x_1 + x_2)/2 = (0 + 12)/2` = 6

y = `(y_1 + y_2)/2 = (2 + 14)/2 = 16/2` = 8

∴ The co-ordinates of the midpoint of the segment joining (0, 2) and (12, 14) are (6, 8).