Q. 144.2( 6 Votes )
In figure AB = BC ; BX=BY. Show that AX = CY ; State the Euclid's axiom used.
We have the diagram,
Given that, AB = BC …(i)
& BX = BY …(ii)
So, subtract the two equations (i) and (ii),
AB – BX = BC – BY
⇒ AX = CY
[Since, from the diagram we can observe that when BX is subtracted from AB, we are left with AX; Similarly, when BY is subtracted from BC, we are left with CY.]
This is the result of Euclid’s second axiom that states, if equals are subtracted from equals, then the remainder is also equal.
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In the given figure, it is given that AC=BD,
Prove that AB=CD.
RS Aggarwal & V Aggarwal - Mathematics