Question

bx=1/2 ab, by=1/2 bc and ab=bc.show that bx=by,using euclids axiom

Answer 1

ab=bc=>bx=by
things which are equal to the same thing are equal to one another

Answer 2

$<b><i>$

$<u>Answer :</u>$

Given,

AB = BC … (i)

And BX = 1/2 AB and BY = 1/2 BC … (ii)

By Euclid’s axiom 7,

$<u>We know that things which are halves of the same thing are equal to one another.</u>$

From (i) and (ii),

∴ BX = BY