Solve each of the following questions using appropriate Euclid’s axiom: In Fig.5.4, we have AB = BC, BX = BY. Show that AX = CY.
To prove: AX = CY
Here it is given that
AB = BC, BX = BY
Euclid’s axiom says that if equals are subtracted from equals, the remainders are equal.
Subtract BX from AB and BY from BC.
AB – BX = BC – BY
AX = CY
Hence proved.