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• Next, without changing the radius, place the compass at point B
and draw another circle with B as the centre.
Step 3: Mark the points C and D, where the two circles intersect.
These points, C and D are equidistant from both A and B.
Instead of drawing full circles, we can also draw small arcs to locate
the equidistant point as shown below.

Example 7: Recreate the figure of a house where all the boundary lines forming the house are of
length 6 cm.

Solution: Steps of constructions:
Step 1: First draw a line segment DC = 6 cm, Step 2: Now, using a compass draw arcs of radius
then draw AD ⊥ DC and BC ⊥ DC, each of 6 cm from points A and B. Let the arcs intersect
length 6 cm as shown in the figure. Next, at point E.
draw a rectangle of height 3 cm and breadth
2 cm on the base CD at a distance of 2 cm
from the point D.

Step 3: Joint A to E and B to E in straight Step 4: Finally, from E, draw an arc passing
lines. through A and B as shown. The house is ready
as shown.

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