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Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compasses. - Mathematics

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Question

Draw a line segment of length 7 cm. Draw its perpendicular bisector, using ruler and compasses.

Diagram

Solution


Steps of construction:

(i) Draw a line segment AB = 7 cm.

(ii) With A as centre and radius more than half of AB, draw arcs, one on each side of AB.

(iii) With B as centre and same radius as before, draw arcs, cutting the previously drawn arcs at X and Y respectively.

(iv) Now join XY, meeting AB at O. Thus, XY is the perpendicular bisector of AB.

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Chapter 9: Symmetry and Practical Geometry - Exercise [Page 144]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 9 Symmetry and Practical Geometry
Exercise | Q 75 | Page 144

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