Exam-Style Questions.

Shape A can be transformed to shape B by a reflection in the y-axis followed by a translation \( {c \choose d} \)

Find the value of \(c\) and the value of \(d\).

Worked Solution

The shape A is drawn on the coordinate grid as shown below.

Sally and Eddie each transform the shape A onto shape B.

• Sally uses a reflection in the line y = 7 followed by a rotation of 90^o anticlockwise about the point (9,9).
• Eddie transforms shape A first with a reflection in the line \(y = x\) followed by his favourite transformation.

(a) Draw and label shape B.

(b) Describe fully Eddie's favourite transformation.

Worked Solution

The diagram shows a red trapezium drawn on a grid.

The trapezium is subjected to two transformations, one after the other.

One transformation is a reflection in the line \(y=x\).

The other transformation is a reflection y-axis.

Does it matter in which order these transformations are made? Explain your answer.

Worked Solution

The diagram shows a trapezium A on a grid.

Trapezium A is reflected in the line \(x=10\) to give trapezium B.

Trapezium B is translated by \(\begin{pmatrix} -6 \\ -3 \\ \end{pmatrix} \) to give trapezium C.

(a) Draw the trapezia B and C on the grid above.

(b) Trapezium C is reflected in the line \(y=5\) to give trapezium D. What are the coordinates of the centre of a 180° rotation that would map trapezium D onto trapezium A?

Worked Solution