(i) Point P (a, b) is reflected in the x-axis to P’

    \[(5,-2)\]

. Write down the values of a and b. (ii) P” is the image of P when reflected in the y-axis. Write down the co-ordinates of P”. (iii) Name a single transformation that maps P’ to P”.
(i) Point P (a, b) is reflected in the x-axis to P’

    \[(5,-2)\]

. Write down the values of a and b. (ii) P” is the image of P when reflected in the y-axis. Write down the co-ordinates of P”. (iii) Name a single transformation that maps P’ to P”.

(i) Image of P (a, b) reflected in the x-axis to P’

    \[(5,-2)\]

So, the co-ordinates of P will be

    \[(5,2)\]

Hence, a =

    \[5\]

and b =

    \[2\]

(ii) P” is the image of P when reflected in the y-axis

Thus, its co-ordinates will be

    \[(-5,-2)\]

.

(iii) The single transformation that maps P’ to P” is the origin.