Question

Give the therorem of converse of cyclic quadrilateral with proof

Answer 1

Draw a circle that passes through A,B nd C Suppose the circle does not pass through D but through Ad extended

Draw EC.

we have ^B +^E1= 180° (opp angles of cyclic quadrilateral )

But ^B+^D=180°(given)

BUT THIS IS IMPOSSIBLE

^E1=^D+^C1 (ext of ∆EDC)

SO THE CIRCLE MUST PASS THROUGH