Use a graph paper for this question (take 10 small divisions = 1 … - Vidyadip

Question

Use a graph paper for this question (take 10 small divisions = 1 unit on both axis).
Plot the points P (3, 2) and Q (-3, -2), from P and Q draw perpendicular PM and QN on the X- axis.
(i) Name the image of P on reflection at 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 (i) X- axis,
(ii) Y-axis, (iii) origin.

✓

Answer

In the graph paper
(i) Q (-3, -2)
(ii) Parallelgoram;
Area of ΔPMN
$=\frac{1}{2} PM \times MN$
$=\frac{1}{2} \times 2 \times 63$
∴ Area of PMQN
= 2 x ΔPMN
= 2 x 6
= 12 square unit
(iii) Co-ordinates of M(3, 0)
(i) (3, 0), (ii) (-3, 0), (iii) (-3, 0).

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