Use graph paper for this question :

Use 1 cm = 1 unit on both the axes.

(i) Plot the points A(4, 5) and B(-1, -3)

(ii) A' is the image of A when reflected in the y-axis. Write down the co-ordinates of A' and plot it on the graph paper.

(iii) B' is the image of B when reflected in the x-axis followed by reflection in the origin. Write down the co-ordinates of B' and plot it on the graph paper.

(iv) Write down the geometrical name of the figure AA'BB'.

(v) Name two invariant points under reflection in y-axis.

Steps of construction :

1. Plot the points A(4, 5) and B(-1, -3) on graph.

2. Reflect the point A in y-axis and mark point A'.

3. Reflect the point B in x-axis and mark point B".

4. Reflect the point B" in origin and mark point B'.

5. Join AA'BB'.

From graph,

Co-ordinates of A' = (-4, 5) and co-ordinates of B' = (1, -3).

AA'BB' is an isosceles trapezium.

Points which are invariant on reflection in y-axis lies on y-axis.

Two points which are invariant under reflection in y-axis are F(0, 4) and G(0, 1).