draw a line segment xy of length 8.2 CM construct its perpendicular bisector take any point p on the perpendicular bisector drawn examine whether p X equals to p y
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>>Draw the perpendicular bisector of XY w
Question

Draw the perpendicular bisector of XY whose length is 8.3 cm.
{i} Take any point P on the bisector drawn. Examine whether PX = PY.
(ii) If M is the mid-point of XY, what can you say about the lengths MX and MY?
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Solution

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Steps of construction :
(i} Draw a line segment XY of length 8.3 cm.
(ii) With X as the centre, using a compass, draw a circle. The radius of this circle should be more than half of the length of XY.
(iii) With the same radius and with Y as the centre, draw another circle using a compass. Let it cut the previous circle at A and B.
(iv) Join AB.
Then, AB is the perpendicular bisector of the line segment XY.
(a) On examination, we find the PX = PY.
(b) We can say that the length of MX is Equal to the length of MY.
Step-by-step explanation:
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