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

Question

Philoid · Accepted Answer

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]