line l is the bisector of an angle a and b is any point on l.bp and bq are perpendiculars from b to the arms of angle a. show that

By Arya

line l is the bisector of an angle a and b is any point on l.bp and bq are perpendiculars from b to the arms of angle a. show that i)angle apb congruent to angle aqb and bp=bq

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2 thoughts on “line l is the bisector of an angle a and b is any point on l.bp and bq are perpendiculars from b to the arms of angle a. show that”

  1. Step-by-step explanation:

    APB=∠AQB (Each 90

    o

    )

    ∠PAB=∠QAB (l is the angle bisector of ∠A)

    AB=AB (Common)

    ∴△APB≅△AQB (By AAS congruence rule)

    ∴BP=BQ (By CPCT)

    It can be said that B is equidistant from the arms of ∠A.

    Reply
  2. Answer:

    In △APB and △AQB

    ∠APB=∠AQB (Each 90

    o

    )

    ∠PAB=∠QAB (l is the angle bisector of ∠A)

    AB=AB (Common)

    ∴△APB≅△AQB (By AAS congruence rule)

    ∴BP=BQ (By CPCT)

    It can be said that B is equidistant from the arms of ∠A

    Reply

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