Reflection Mathematics - Reflection

A point P is reflected in the x-axis. Co-ordinates of its image are (8,-6). Find the co-ordinates of P. Find the co-ordinates of the image of P under reflection in the y-axis.

S' is the image of S under reflection in the origin. If the co-ordinates of S are (2,-5), write the co-ordinates of S'.

P' is the image of P under reflection in the x-axis. If the co-ordinates of P' are (2, 10), write the co-ordinates of P.

State the co-ordinates of the images of the following point under reflection in the origin:
(9,-9)

State the co-ordinates of the images of the following point under reflection in the origin:
(0, 2)

The points B and C have the co-ordinates (3, 2) and (0, 3). Find B', the image of B under the reflection in the x-axis and C', the image of C under the reflection in the line BB'.

A point P is reflected in the x-axis to P'. P' is then reflected in the origin to P". If the co-ordinates of P' are (-3, 4). Find the co-ordinates of P and P". Write the single transformation that map P onto P".

A triangle ABC lies in the co-ordinate plane. The co-ordinates of its vertices are A (2, 3), B ( 4,-4) and C (6 ,-7). This triangle is reflected in the line y=O onto LA'B'C'. LA'B'C' is then reflected in the origin ontolA"B"C". Write down the co-ordinates of LA'B'C' and LA "B" C".

The points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) are reflected in y-axis. If the images are denoted byP' , Q' , and R' , then
(i) Find the co-ordinates of P'Q'R' , Q' and R'
(ii) What kind of figure is formed by RR' Q' Q?
(iii) Find the perimeter of the figure P'Q'R'