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Question

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 of the perpendicular from P to the x-axis, find the co-ordinates of M.

(c) If N is the foot of 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.

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Solution

selina-icse-solutions-class-10-maths-co-ordinate-geometry-reflection-ex-9b-q10
(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.
(e) Are of PMP’N = 2 (Area of D PMN)
= 2 × ½ × 10 × 3
= 30 sq. units

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