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Question
Draw a line segment of length and construct its perpendicular bisector.
Draw a line segment of length and construct its perpendicular bisector.
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Solution
To construct a line segment of length and to construct its perpendicular bisector the steps given below can be followed:
Step 1. Draw a line segment PQ of .
Step 2. Take point P as centre and draw a circle by using compasses. The radius of circle should be more than half the length of PQ.
Step 3. Considering the centre at point Q, again draw another circle using compasses with the same radius as before. Let it cut the previous circle at R and S respectively.
Step 4. Join RS. Now RS is the axis of symmetry i.e the perpendicular bisector of the line PQ.
Hence, RS is the required perpendicular bisector of the line.
To construct a line segment of length and to construct its perpendicular bisector the steps given below can be followed:
Step 1. Draw a line segment PQ of .
Step 2. Take point P as centre and draw a circle by using compasses. The radius of circle should be more than half the length of PQ.
Step 3. Considering the centre at point Q, again draw another circle using compasses with the same radius as before. Let it cut the previous circle at R and S respectively.
Step 4. Join RS. Now RS is the axis of symmetry i.e the perpendicular bisector of the line PQ.
Hence, RS is the required perpendicular bisector of the line.
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