Transformations

Enlarge the shape below by a scale factor of 4.

Translate the shape below 3 squares to the right and 5 squares down.

Translate the shape below 3 squares to the right and 5 squares down.

Rotate the triangle through 90° clockwise, about the origin.

Rotate the triangle through 90° clockwise, about the origin.

Reflect the triangle in the line x =−2.

Enlarge the given triangle by a scale factor of –2, using point A as the centre of enlargement.

Reflect the shape A in the line x = −1.

Reflect the shape A in the line x = −1.

Enlarge the shape B by a scale factor of 2, using (1, 3) as the centre of enlargement. [3]

Describe fully the single transformation that transforms triangle A onto triangle B.

Translate the triangle 6 squares to the left and 2 squares down.

Translate the triangle 6 squares to the left and 2 squares down.

Rotate the shape shown below by 90° anticlockwise about the origin.

Rotate the shape shown below by 90° anticlockwise about the origin.

Write down the column vector that will reverse the translation in part (i).

Write down the column vector that will reverse the translation in part (a).

Enlarge the given triangle by a scale factor of –2, using point A as the centre of enlargement.

Translate the shape below 2 squares to the left and 4 squares down.

Translate the shape below 2 squares to the left and 4 squares down.

Describe fully the single transformation that transforms shape A onto shape B.

16. Reflect the shape below in the line x 1.

Reflect the shape below in the line x 1.

Rotate the shape below through 90° clockwise about the point (–1, 1).

Enlarge the triangle below by a scale factor of –2.

Use the origin as the centre of enlargement.

Rotate the shape below through 90° clockwise about the point (–1, 1).

Draw a reflection of this shape in the line AB.

Describe fully the single transformation that transforms shape A onto shape B.

Describe fully the single transformation that transforms shape A onto shape B.

Describe fully the single transformation that transforms shape A onto shape B.

In the following diagram, triangle ABC has been enlarged to triangle DEF, with the centre of enlargement at O.

Write down the scale factor of the enlargement.

Describe fully the single transformation that transforms triangle A onto triangle B.

Write down the column vector that will reverse the translation in part (i).

Describe fully the single transformation that transforms triangle A onto triangle B.

Write down the column vector that will reverse the translation in part (i).

Describe fully a single transformation that transforms shape A onto shape B.

Draw a reflection of this shape in the line PQ.

The diagram shows two congruent triangles. The coordinates of each vertex are shown.

Find the value of a and the value of b.

Draw an enlargement of the rectangle below, using a scale factor of 3 and centre (1, 2).

The diagram shows two congruent triangles. The coordinates of each vertex are shown.

Find the value of a and the value of b.

Enlarge the given triangle by a scale factor of –3 using point A as the centre of enlargement.

Describe fully the single transformation which maps triangle A onto triangle B.

Reflect the shape S in the line y = 1.

Describe fully the single transformation that transforms shape S to shape T.

Reflect the shape S in the line y = 1.

Describe fully the single transformation that transforms shape S to shape T.

Enlarge the triangle below by a scale factor of –2. Use the origin as the centre of enlargement.

Enlarge triangle B by a scale factor of , using (0, 0) as the centre of enlargement.

Rotate triangle A through 90° anticlockwise, about the point (–2, 3).

Enlarge triangle B by a scale factor of , using (0, 0) as the centre of enlargement.

Reflect the triangle below in the x-axis.

Translate the triangle below 3 squares to the left and 2 squares down.

Describe fully a single transformation that transforms shape A onto shape B.