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Mathematics

Draw a line segment AB‾\overline{AB} of length 6.5 cm and construct its axis of symmetry.

Constructions

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Answer

The axis of symmetry of a line segment is its perpendicular bisector.

Steps:

  1. Draw a line segment AB‾\overline{AB} of length 6.5 cm.

  2. With A as centre and any suitable radius (>12AB)\left(\gt\dfrac{1}{2}\text{AB}\right), draw arcs on each side of AB.

  3. With B as centre and the same radius, draw arcs on each side of AB to cut the previous arcs at C and D.

  4. Draw line CD.

Draw a line segment AB of length 6.5 cm and construct its axis of symmetry. Practical Geometry (Constructions), ML Aggarwal Understanding Mathematics Solutions ICSE Class 6.

Hence, CD is the required axis of symmetry (perpendicular bisector) of line segment AB‾\overline{AB}.

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