G1 | Maths Made Easy

G1

Question: Find the midpoint of the line segment that joins A and B as shown.

 

Answer: Point A has coordinates (-2, -2).

Point B has coordinates (0, 3).

By taking the average of the x coordinates of A and B, the x coordinate of the midpoint is

\frac{-2 + 0}{2} = -1.

By taking the average of the y coordinates of A and B, the y coordinate of the midpoint is

\frac{-2 + 3}{2} = \frac{1}{2}.

Therefore, the coordinates of the midpoint are \left(-1, \frac{1}{2}\right).