The point $P (5, 3)$ was reflected in the origin to get the image $P’.(a)$ Write down the co-ordinates of P’.
(b) If M is the foot if the perpendicular from P to the x-axis, find the co-ordinates of M.
(c) If N is the foot if the perpendicular from P’ to the x-axis, find the co-ordinates of N.
(d) Name the figure PMP’N.
(e) Find the area of the figure PMP’N.
Exercise 12 (B) | Q 10 | Page 170
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(a) Co-ordinates of $P’ = (-5, -3)$
(b) Co-ordinates of $M = (5, 0)$
(c) Co-ordinates of $N = (-5, 0)$
(d) PMP’N is a parallelogram.
$\text { (e) Are of PMP'N }=\operatorname{ar}(\triangle PMN )+\operatorname{ar}\left(\triangle MNP ^{\prime}\right)$
$=\frac{1}{2} \times 10 \times 3+\frac{1}{2} \times 10 \times 3$
$=15+15$
$=30 \text { sq. units }$ 
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