Question

(i) Plot the points A (3.5) and B (-2,-4). Use 1 cm = 1 unit on both the axes.
(ii) A' is the image of A when reflected in the x-axis. Write down the co-ordinates of A' a
plot it on the graph paper.
(iii) B' is the image of B when reflected in the y-axis, followed by reflection in the orig
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 the invariant points under reflection in the x-axis.
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Answer 1

Answer:

(i) The points A (3, 5) and B (-2, -4) can be plotted on a graph as shown.

(ii) A’ = Image of A when reflected in the x-axis = (3, -5)

(iii) C = Image of B when reflected in the y-axis = (2, -4) B’ = Image when C is reflected in the origin = (-2, 4)

(iv) Isosceles trapezium

(v) Any point that remains unaltered under a given transformation is called an invariant. Thus, the required two points are (3, 0) and (-2,0)