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Draw and describe the locus of a point in rhombus ABCD which is equidistant from AB and AD.

Locus

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Answer

Let ABCD be a rhombus.

Draw and describe the locus of a point in rhombus ABCD which is equidistant from AB and AD. Locus, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

AC is a diagonal of the rhombus and it bisects ∠A. [By property of rhombus]

Any point on the angle bisector of an angle is equidistant from the two arms of the angle.

Since AC bisects ∠DAB, every point on AC is equidistant from AD and AB.

Hence, the locus of the point is the diagonal AC of the rhombus ABCD.

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