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Question

A straight line AB is 8 cm long.Draw and describe the locus of a point which is:

(i) always 4 cm from the line AB.

(ii) equidistant from A and B.

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

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Solution

9

(i)Draw a line segment AB = 8 cm.

(ii)Draw two parallel lines l and m to AB at a distance of 4 cm.

(iii)Draw the perpendicular bisector of AB which intersects the parallel lines l and m at X and Y respectively then, X and Y are the required points.

(iv)Join AX, AY, BX and BY.

The figure AXBY is a square as its diagonals are equal and intersect at 90o.


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