A point P is reflected in the origin. Co-ordinates of its image are (-2, 7). (i) Find the co-ordinates of P. (ii) Find the co-ordinates of the image of P under reflection in the x-axis.
A point P is reflected in the origin. Co-ordinates of its image are (-2, 7). (i) Find the co-ordinates of P. (ii) Find the co-ordinates of the image of P under reflection in the x-axis.

(I) As, \[{{M}_{O}}~\left( 2,\text{ }-7 \right)\text{ }=\text{ }\left( -2,\text{ }7 \right)\]

Thus, the co-ordinates of \[P\]are \[\left( 2,\text{ }-7 \right).\]

 

(ii) Co-ordinates of the picture of \[P\]under appearance in the x-pivot \[\left( 2,\text{ }7 \right)\].