(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".

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Solution

(i) We know M_x (x, y) = (x, -y)
P’ (5, -2) = reflection of P (a, b) in x-axis.
Thus, the co-ordinates of P are (5, 2).
Hence, a = 5 and b = 2.
(ii) P” = image of P (5, 2) reflected in y-axis = (-5, 2)
(iii) Single transformation that maps P’ to P” is the reflection in origin.

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(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) We know Mx (x, y) = (x, -y) P’ (5, -2) = reflection of P (a, b) in x-axis. Thus, the co-ordinates of P are (5, 2). Hence, a = 5 and b = 2. (ii) P” = image of P (5, 2) reflected in y-axis = (-5, 2) (iii) Single transformation that maps P’ to P” is the reflection in origin.

(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) We know M_x (x, y) = (x, -y)
P’ (5, -2) = reflection of P (a, b) in x-axis.
Thus, the co-ordinates of P are (5, 2).
Hence, a = 5 and b = 2.
(ii) P” = image of P (5, 2) reflected in y-axis = (-5, 2)
(iii) Single transformation that maps P’ to P” is the reflection in origin.