A straight-line AB is 8 cm long. Draw and describe the locus of a point which is: always 4 cm from the line AB

Solution

Step 1:

Draw a line segment AB of length 8 cm.

Step 2:

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

Step 3:

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.

Step 4:

Join AX, AY, BX and BY.

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

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