MathsYears 10–11Geometry - Properties of Shapes

Similarity and congruence

Identify and prove congruent triangles; use similarity to find missing lengths and areas

What you'll learn

  1. 1

    Imagine two identical photocopies of your favourite photo. They're exactly the same shape and size — that's congruence!

  2. 2

    If two shapes are congruent, what must be true?

  3. 3

    Here are two triangles. They have all matching sides and angles — they are congruent.

  4. 4

    Drag the second triangle to see if it fits exactly over the first one. That's congruence!

  5. 5

    Let's check if these two rectangles are congruent.

  6. 6

    If shape A has sides 5cm, 5cm, 8cm and shape B has sides 4cm, 5cm, 8cm, are they congruent?

  7. 7

    Similar shapes are like enlargements — same shape but different size. Think of a small photo and a poster of the same picture.

Practise Similarity and congruence with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.