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Question
Use graph paper for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.
Solution
(i) P' (-5, -3).
(ii) M (5, 0).
(iii) N (-5, 0).
(iv) The figure PMP'N is a parallelogram.
(v) The area of figure PMP'N
= `(1)/(2) xx 10 xx 3 + (1)/(2) xx 10 xx 3`
= 15 + 15
= 30 sq. units.
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