Construct an angle of 90o using ruler and compasses and bisect it.

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Step of Construction:Construct a line segment OAConsidering O as centre and suitable radius construct an arc cutting the line OA at the point B Considering B as a centre and suitable radius as before constructing an arc to cut the previous arc at the point CConsidering C as centre and same radius cut the arc at the point DConsidering C as a centre and the radius more than half of CD construct an arc Considering D as a centre and same radius construct another arc to cut the previous arc at the point E Join E so we get ∠AOE=90oConsidering B as centre and radius more than half of CBconstruct and arcConsidering C as the centre and same radius construct an arc with cuts the previous arc at the point FJoin OF Therefore, F is the bisector of the right ∠AOE.

Question Text	Construct an angle of $9 0^{o}$ using ruler and compasses and bisect it.
Answer Type	Text solution:1
Upvotes	150

Construct an angle of $9 0^{o}$ using ruler and compasses and bisect it.

Text solutionVerified

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