Higher June 2017 Paper 1 Q21

AQACurrent spec4 marksTransformations of Shapes

21

(a) The diagram shows rectangles A and B.
Grid with x and y from -4 to 4. Rectangle A has vertices (-4, 1), (-2, 1), (-2, 4), (-4, 4). Rectangle B has vertices (2, 1), (4, 1), (4, 4), (2, 4)

Rectangle A can be mapped to rectangle B by a single transformation.

Javed says,

“The only single transformation is a reflection in the \(y\)-axis because the rectangles are on opposite sides of the \(y\)-axis.”

Is he correct?

Tick a box.

  • Yes
  • No

Give a reason for your answer. [1 mark]

(b) This diagram shows triangles CDE and PQR.
Grid with x from -10 to 4 and y from -4 to 6. Triangle CDE has vertices C(2, 1), D(4, 1), E(3, -2). Triangle PQR has vertices P(-3, 6), Q(-3, 2), R(-9, 4)

CDE is mapped to PQR by combining two single transformations.

The first is a rotation of \(90^\circ\) anticlockwise about E.

Describe fully the second transformation. [3 marks]

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