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A line segment AB is 8 cm long. Locate by construction the locus of a point which is :

(i) Equidistant from A and B.

(ii) Always 4 cm from the line AB.

(iii) Mark two points X and Y, which are 4 cm from AB and equidistant from A and B. Name the figure AXBY.

Locus

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Answer

The figure is shown below:

A line segment AB is 8 cm long. Locate by construction the locus of a point which is (i) Equidistant from A and B. (ii) Always 4 cm from the line AB. (iii) Mark two points X and Y, which are 4 cm from AB and equidistant from A and B. Name the figure AXBY. Locus, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

(i) The locus of a point equidistant from A and B will be perpendicular bisector of AB.

(ii) Let the perpendicular bisector bisect AB at O. Cut an arc of 4 cm from O on CD (perpendicular bisector) on both sides. Mark these points as X and Y.

Hence, locus will be point on perpendicular bisector of AB at a distance of 4 cm on both sides.

(iii) Joining the points A, B, X and Y.

Hence, the figure formed ABXY is a square.

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