Coordinates of vertices of shapes
Age 11-12
The coordinates (positive) of three of the vertices of a square or rectangle are given, what are the coordinates of the fourth vertex? Work out the area of the rectangle.

Coordinates of a rectangle

Work out the coordinates of the other corners (see example picture). The numbers are not shown on the axes.

All four quadrants
Work out the coordinates of the other corners of shapes. The numbers are not shown on the axes.

Given the coordinates of points A and B, find the mid-point of the line segment AB.

Age 12-13

Vertical or horizontal line
Diagonal line

Given the coordinates of points A and B, calculate the length of AB (Pythagoras' theorem)

Age 13-14

Use Pythagoras' theorem

Reflect, rotate and translate shapes, write down the coordinates

Age 12-13

Transform 1
A triangle is reflected in each axis, rotated through 90 and 180 degrees and translated. Write down the coordinates.