Q.1 In Fig. if AB = BC , BX = BY , Show that AX = CY. State the axioms used.
 

Asked by sbidipak | 15th Jul, 2017, 11:50: AM

Expert Answer:

begin mathsize 16px style We space have comma
AB equals BC space space space space space space space.... left parenthesis straight i right parenthesis
BX equals BY space space space space space space space space.... left parenthesis ii right parenthesis
According space to space Euclid apostrophe straight s space axioms comma space if space equals space are space subtracted space from space equals comma space the space remainders space are space equal.
So comma space on space subtracting space left parenthesis ii right parenthesis space from space left parenthesis straight i right parenthesis comma space we space get
AB minus BX equals BC minus BY
rightwards double arrow AX equals CY space space space space space space space.... left parenthesis proved right parenthesis
end style

Answered by Rashmi Khot | 16th Jul, 2017, 08:13: PM