Coordinates of vertices of shapes
Year 7 (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.

N1: Coordinates of a rectangle

N2: Work out the coordinates of the other corners (see example picture). The numbers are not shown on the axes.

All four quadrants
N3: 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.

Year 8 (age 12-13)

N5: Vertical or horizontal line
N6: Diagonal line

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

Year 9 (age 13-14)

N7: Use Pythagoras' theorem

Reflect, rotate and translate shapes, write down the coordinates

Year 8 (age 12-13)

N9: Transform 1
A triangle is reflected in each axis, rotated through 90 and 180 degrees and translated. Write down the coordinates.