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Question
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
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Solution
We have, AB = BC ...(i)
And BX = BY ...(ii)
According to Euclid’s axiom, if equals are subtracted from equals, the remainders are equal.
So, on subtracting equation (ii) from equation (i), we get
AB – BX = BC – BY
⇒ AX = CY ...[From figure]
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