This activity is about identifying the midpoints of a line on a coordinate grid.
The lines will be horizontal or vertical.
You will be given the endpoints of the line.
Remember the x number comes before the y number.
To find the midpoint
- Find the length of the whole line.
- Halve this length.
- Move along this half-distance from either of the endpoints.
Find the coordinates of M, the midpoint of AC shown on the grid below.
The line AC is 8 units long.
Count the squares to check.
A has an x-coordinate of -5.
B has an x-coordinate of +3.
From -5 up to +3 is 8 units.
The half-distance is 8 ÷ 2 = 4 units.
M is the midpoint on the line AC.
It is 4 units to the right of A and 4 units to the left of C.
The coordinates of M are (-1, -3).
That wasn't too tricky, was it? Let's have a go at some questions now.