[3 marks sum]

Question 13 Marks

Write down the coordinates of the image of the point $(3,-2)$ when :
(a) reflected in $x$-axis.$\quad$(b) reflected in $y$-axis.$\quad$(c) reflected in the origin.

Answer

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Question 23 Marks

A triangle with vertices $A (1,2), B (4,4)$ and $C (3,7)$ is first reflected in the line $y=0$ onto $\Delta A ^{\prime} B ^{\prime} C ^{\prime}$ and then $\Delta A ^{\prime} B ^{\prime} C ^{\prime}$ is reflected in the origin onto $\Delta A ^{\prime \prime} B ^{\prime \prime} C ^{\prime \prime}$. Write down the co-ordinates of (a) $A ^{\prime}, B ^{\prime}$ and $C ^{\prime}$ (b) $A ^{\prime \prime}, B ^{\prime \prime}$ and $C ^{\prime \prime}$.

Answer

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Question 33 Marks

(a) Point $P (a, b)$ is reflected in $x$-axis to $P ^{\prime}(4,-3)$. Write down the values of $a$ and $b$.
(b) $P ^{\prime \prime}$ is the image of P when reflected in $y$-axis. Write down the co-ordinates of $P ^{\prime \prime}$.
(c) Name a single transformation that maps $P ^{\prime}$ to $P ^{\prime \prime}$.

Answer

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Question 43 Marks

The point $A (-6,4)$ on reflection in $y$-axis is mapped as $A ^{\prime}$. Point $A ^{\prime}$ on reflection in the origin is mapped as $A ^{\prime \prime}$.
(a) Find the co-ordinates of $A ^{\prime}$.
(b) Find the co-ordinates of $A ^{\prime \prime}$.
(c) Write down a single transformation that maps $A$ to $A ^{\prime \prime}$.

Answer

Self

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Question 53 Marks

The point $P (a, b)$ is first reflected in the origin and then reflected in the $y$-axis to $P ^{\prime}$. If $P ^{\prime}$ has co-ordinates $(3,-4)$, evaluate $a, b$.

Answer

Self

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Mathematics [3 marks sum]

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