Question

For each figure, given below, draw the line of symmetry, if possible:

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Medium

Solution

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Steps of Construction

1. Construct a line segment cm.

2. Taking A as Centre and cm as radius and B as Centre and cm as radius construct arcs which intersect each other at point C.

3. Now join AC and BC.

4. Construct the angle bisector of and which intersect each other at point I.

5. From the point I construct IL which is perpendicular to AB.

6. Taking I as Centre and IL as radius construct a circle which touches the sides of ABC internally.

By measuring the required incircle the radius is cm.

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