Mathematics
Given two points P and Q, and that (1) the image of P on reflection in y-axis is the point Q and (2) the mid point of PQ is invariant on reflection in x-axis. Locate (i) the x-axis (ii) the y-axis and (iii) the origin.
Reflection
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Answer
Given, Q is the image of P on reflection in y-axis and midpoint of PQ is invariant on reflection in x-axis.
From graph we get,
(i) x-axis will be the line joining the points P and Q.
(ii) The line perpendicular bisector of the line segment PQ is the y-axis.
(iii) The origin will be the mid point of the line segment PQ.
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Use graph paper for this question.
Take 2 cm = 1 unit on both the axes.
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