1.

In the adjoining figure, if AB = BC and BX = BY, then show that AX = CY

Answer»

According to the question,

We have,

AB =BC …(i)

and BX=BY …(ii)

According to Euclid’s axiom,

“If equals are subtracted from equals, the remainders are equal.”

Subtracting Eq.(ii) from (i),

We get,

AB-BX = BC-BY

⇒ AX = CY [from the given figure]



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