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If perpendiculars from any point with an...

If perpendiculars from any point with an angle on its arms are congruent, prove that it lies on the bisector of that angle.

Text Solution

Verified by Experts

To prove-`/_1=/_2`
Proof-`In /_PMB and /_PMB`
PM=PN(given)
BP=BD(common)
`/_PMB=/_PNB(each 90^@)`
`/_PMB cong /_PNB(RHS)`
`/_1=/_2`
BP bisects `/_B`.
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