Points P and Q have co-ordinates (0, 5) and (-2, 4).

(i) P is invariant when reflected in an axis. Name the axis.

(ii) Find the image of Q on reflection in the axis found in (1).

(iii) (0, k) on reflection in the origin is invariant. Write the value of k.

(iv) Write the co-ordinates of the image of Q, obtained by reflecting it in the origin followed by reflection in the x-axis.

Use a graph paper for this question. Plot the points P(3, 2) and Q(-3, -2). From P and Q, draw perpendiculars PM and QN on the x-axis.

(i) Name the image of P on reflection in the origin.

(ii) Assign the special name to the geometrical figure PMQN and find its area.

(iii) Write the co-ordinates of the point to which M is mapped on reflection in

(a) x-axis
(b) y-axis
(c) origin

Use a graph paper for this question. A(1, 1), B(5, 1), C(4, 2) and D(2, 2) are the vertices of a quadrilateral.

(i) Name the quadrilateral ABCD.

(ii) A, B, C, D are reflected in the origin onto A', B', C' and D' respectively. Locate A', B', C', D' on the graph paper and write their co-ordinates.

(iii) Are D, A, A' and D' collinear?

A ΔABC with vertices A(1, 2), B(4, 4) and C(3, 7) is first reflected in the line y = 0 onto ΔA'B'C' and then ΔA'B'C' is reflected in the origin onto ΔA"B"C".

Write down the co-ordinates of :

(i) A', B' and C'

(ii) A", B" and C"

Write down the single transformation that maps Δ ABC directly onto ΔA"B"C".