Key learning points

1. For a right-angled triangle, you need the hypotenuse and one other side length to prove congruence.
2. Right-angled triangles, by definition, have a right-angle.
3. There is a special relationship between the sides in a right-angled triangle.

Keywords

• Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

• Similar - Two shapes are similar if the only difference between them is their size. Their side lengths are in the same proportions.

• Pythagoras' theorem - Pythagoras’ theorem states that the sum of the squares of the two shorter sides of a right-angled triangle is equal to the square of the hypotenuse.

Common misconception