Q4 of 48 Page 50

In the Fig.5.4, we have AB = BC, BX = BY. Show that AX = CY.

We, have AB =AC …(i)

and BX=BY …(ii)


According to Euclid’s axiom, if equals are subtracted from equasl, the remainders are equal.


So, on subtracting Eq.(ii) from (i) ,


We get, AB-BX = BC-BY


⇒ AX = CY [from figure]


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