AI generatedGeometry and measuresKey Stage 3

Describing a rotation

Describing a rotation.

  • Match corresponding vertices before describing a transformation.
  • Reflection: mirror line. Rotation: centre, angle and direction. Translation: vector.
  • Enlargement: centre and scale factor. Apply combined transformations in the stated order.

Example 1

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−4−224−22460ABCA′B′C′
Black: original. Blue: image.
Rotation 90° anticlockwise about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Example 2

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−6−4−2246−4−224680ABCA′B′C′
Black: original. Blue: image.
Rotation 180° about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Your turn

Question 1

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−22468−6−4−2240ABCA′B′C′
Black: original. Blue: image.
Check answer
Rotation 90° clockwise about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Question 2

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−4−224−224680ABCA′B′C′
Black: original. Blue: image.
Check answer
Rotation 90° anticlockwise about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Question 3

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−6−4−2246−4−22460ABCA′B′C′
Black: original. Blue: image.
Check answer
Rotation 180° about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Question 4

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−2246810−6−4−2240ABCA′B′C′
Black: original. Blue: image.
Check answer
Rotation 90° clockwise about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

Question 5

Describe the single transformation from ABC to A′B′C′.

Black: original. Blue: image.−6−4−224−224680ABCA′B′C′
Black: original. Blue: image.
Check answer
Rotation 90° anticlockwise about (0, 0).

Give the centre, angle and direction. For 180°, either direction gives the same image.

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