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Question

Draw the perpendicular bisector of ¯¯¯¯¯¯¯¯¯XY whose length is 10.3 cm
Take any point P on the bisector drawn. Examine whether PX = PY.

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Solution

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of the line segment.

Steps of construction:

(i) Draw a line segment ¯¯¯¯¯¯¯¯¯XY = 10.3 cm

(ii) Taking X and Y as centres and radius more than half of AB, draw two arcs which intersect each other at C and D.

(iii) Join CD. Then CD is the required perpendicular bisector of ¯¯¯¯¯¯¯¯¯XY
Take any point P on the bisector drawn. With the help of divider we can check that¯¯¯¯¯¯¯¯¯PX=¯¯¯¯¯¯¯¯PY


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