**11.2 Transformations (I), PT3 Focus Practice**

**Question 1:**

Diagram below in the answer space shows object

**drawn on a grid of equal squares with sides of 1 unit.***P*On the diagram, draw the image of object

**under the translation $\left(\begin{array}{l}-6\\ \text{}3\end{array}\right).$***P*

AnswerAnswer

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SolutionSolution

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**Question 2:**

Describe the translation which maps point

*P*onto point*P*’.

SolutionSolution

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The translation is
$\left(\begin{array}{l}\text{}7\\ -6\end{array}\right).$

**Question 3:**

Diagram below in the answer space shows quadrilateral

*PQRS*.*R’S’*is the image of*RS*under a reflection in the straight line*AB*.On diagram in the answer space, complete the image of quadrilateral

*PQRS*.

AnswerAnswer

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*Solution***:**

**Question 4:**

Diagram in the answer space, shows two polygons,

*M*and*M’*, drawn on a grid of equal squares with sides of 1 unit.*M’*is the image of M under a reflection.(a) Draw the axis of reflection.

(b) Mark the image of

*P*under the same reflection.(c) Draw the image of

*M*under reflection in the*x*-axis.

AnswerAnswer

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*Solution***:**

**Question 5:**

On diagram in the answer space, triangle

*P’Q’R’*is the image of triangle*PQR*under a rotation about centre*C*.(a) State the angle and direction of the rotation.

(b)

*K’*is the image of point*K*under the same rotation.Mark and state the coordinates of

*K’*.

AnswerAnswer

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*Solution***:**

*P’Q’R’*is the image of ∆

*PQR*under a clockwise rotation of 90

^{o}.

(b) Image of

*K*= (1, –4).