**Question 6:**Diagram in the answer space shows a Cartesian plane board used in an indoor game.

The instruction of the game is such that the first move follows the translation $\left(\begin{array}{l}-4\\ -2\end{array}\right)$ and the second move follows the translation $\left(\begin{array}{l}\text{}5\\ -4\end{array}\right)$ .

Jimmy starts moving from the position mark x.

(a) Mark

*T*1 at Jimmy’s position after the first move and

*T*2 at the position after the second move.

(b) State the coordinates of the position based on Jimmy’s final move.

*Answer*:

*Solution*:**(a)**

**(b)**Jimmy’s final position = (3, –2).

**Question 7:**In the answer space below, a quadrilateral

*PQRS*is drawn on a grid of squares.

*A*’ is the image of

*P*under rotation 90

^{o}at point

*C*.

(a) State the direction of the rotation.

In the answer space,

(b) mark

*B*’ as the image of point

*Q*under the same rotation.

(c) draw the image of quadrilateral

*PQRS*under a reflection on the line

*MN*.

*Answer*:

*Solution*:**(a)**

*A*’ is the image of

*P*under a rotation of 90

^{o}clockwise about the centre

*C*.

**(b)**and

**(c)**

**Question 8:**Diagram in the answer space shows trapezium

*ABCD*drawn on a Cartesian plane.

*A*’

*D*’ is the image of

*AD*under a rotation at centre

*W*.

(a) State

(i) angle of rotation

(ii) the direction of the rotation.

(b) On diagram in the answer space, complete the image of trapezium

*ABCD*.

*Answer*:

*Solution*:**(a)(i)**

$\angle DWD\text{'}={90}^{o}\text{or}{270}^{o}.$

**(a)(ii)**Anticlockwise or clockwise.

**(b)**