Triangle ABC is constructed with AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw two perpendicular bisectors of side AB and BC. These two bisectors will intersect at a point. State whether True or False.

True

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False

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Solution

The correct option is A
True

The two perpendicular bisectors intersect at point O as shown above.

Steps for construction of bisector:

Place the compass at one end of the line segment.

Adjust the compass to slightly longer than half the line segment length

Draw arcs above and below the line.

Keeping the same compass width, draw arcs from another end of the line.

Place ruler where the arcs cross and draw the line segment.

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Triangle ABC is constructed with AB = 4 cm, ∠CAB = $45^{0}$ and BC = 2.92 cm. Draw two perpendicular bisectors of side AB and BC. These two bisectors will intersect at a point. State whether True or False.