When a point is reflected in the origin, the sign of its abscissa and ordinate changes. [1 Mark]
Hence reflection of (10,45) in the origin is (−10,−45) [1 Mark]
P and Q have co-ordinates (0, 5) and (-2, 4).
(a) P is invariant when reflected in an axis. Name the axis.
(b) Find the image of Q on reflection in the axis found in (a)
(c) (0, k) on reflection in the origin is invariant. Write the value of k.
(d) Write the co-ordinates of the image of Q, obtained by reflection it in the origin followed by reflection in x-axis.
A point P (-2, 3) is reflected in line x = 2 to point P'. Find the co-ordinates of P'.
A point P is reflected in the x-axis, co-ordinates of its image are (-4, 5).
(i) Find the co-ordinates of P.
(ii) Find the co-ordinates of the image of P under reflection in the y-axis [3 Marks]