A shape is reflected in the line y = x and then rotated 90° anticlockwise about the origin. Which single transformation is equivalent to this combination?

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Question

A shape is reflected in the line y = x and then rotated 90° anticlockwise about the origin. Which single transformation is equivalent to this combination?

Accepted Answer

Reflection in the y-axis — Award 1 mark for identifying reflection in the y-axis. A is incorrect — reflection in y = -x would result from reflection in y = x followed by 90° clockwise rotation. C is incorrect — 180° rotation produces a different final position. D is incorrect — reflection in the x-axis does not match the combined effect of these transformations.

Answer

Reflection in the line y = -x

Answer

Reflection in the y-axis

Answer

Reflection in the x-axis

Answer

Rotation 180° about the origin

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