Three points are given: P(5,−3), Q(−4,6) and R(0,−7).
(a) Find the coordinates of the images P1, Q1 and R1 when the points are reflected in the x-axis.
(b) Find the coordinates of the images P2, Q2 and R2 when the same original points are reflected in the y-axis.
(c) On graph paper, plot the original points and all six images obtained in parts (a) and (b). Use one colour for the originals, a second colour for the x-axis images and a third colour for the y-axis images. Label every point clearly.
(d) From your diagram, write two observations comparing the positions of an original point and its image under each reflection.