Question

In the given figure if AB = BC,
AP = CQ Prove that BP = BQ.​

Answer 1

Answer:

$given..$

$AB= BC$

$AP = CQ$

$AB =AP+BP$

$BC= BQ+CQ$

$since \: AB= BC$

$AP+BP = BQ+CQ$

$since \: AP = CQ$

$= > BP = BQ$

$hence \: proved$

Answer 2

Answer:

$\huge\mathbf\green{Given:}$

AB = BC

AP = CQ

$\huge\tt\red{To\:Prove:}$

BP = BQ

$\huge\mathcal\blue{Proof:}$

AB = BC(Given)

=> AP + BP = CQ + BQ

=> AP + BP = AP + BQ (Given, AP=CQ)

{AP on both sides cancels}

=> BP = BQ

${\pink{\underline{\underline{\bold{\huge{Hence\:Proved}}}}}}$

Hope it helps you.....✔✔✔