Transformations · Year 10

In Year 10 you get fluent with: describing transformations fully.

A transformation moves a shape. Reflections, rotations and translations keep the size and shape the same (the image is congruent); an enlargement changes the size by a scale factor but keeps the shape (the image is similar).

Key facts

  • Enlargement: give the scale factor and centre; every length is multiplied by the scale factor.
  • Areas scale by the scale factor squared.

Worked examples

Example 1

Describe the single transformation that maps triangle A onto triangle B.

Answer: A reflection in the y-axis (the line x = 0)

Example 2

Enlarge P(3, 2) by scale factor 2 with centre (1, 1).

Answer: (5, 3)

Other years