• If you are citizen of an European Union member nation, you may not use this service unless you are at least 16 years old.

  • You already know Dokkio is an AI-powered assistant to organize & manage your digital files & messages. Very soon, Dokkio will support Outlook as well as One Drive. Check it out today!



Page history last edited by PBworks 17 years ago


E12:demonstrate an understanding of the concept of converse


converse statements


-->if one thing is true, then is the opposite?

-->if p, then q but,

-->not every statement has a true converse statement


true converse statement: 

statement--> If this month is June, next month is July

converse-->if next month is July, this month is June

This is a true statement !!!


if and only if statement:

-->statements with a true converse can be worded into an if and only if statement

example-->next month is July if and only if, this month is June


untrue converse statement:

statement-->if you've been swimming, your hair is wet

converse-->if your hair is wet, you've been swimming

*this converse statement is not true because it is not so in every case


converse statements in circle geometry:

statement-->if a line is perpendicular to a chord and passes through the centre of a circle then, it bisects the chord

converse-->if a line is perpendicular to a chord and bisects the chord than, it passes through the centre of the circle

if and only if statement-->a line is perpendicular to a chord of a circle and bisects the chord if and only if, it passes through the centre of the circle


sample problem:

state the converse of this statement:yesterday was saturday so, today is sunday

is it a true statement?

if so write it as a if and only if statement. 



converse-->today is sunday so, yesterday was saturday

yes it is true

if and only if statement-->yesterday was saturday if and only if, today is sunday















Comments (1)

Anonymous said

at 7:10 pm on Jun 14, 2007

Nice page Nicole and Tom. You sample problem isn't in "If...then..." format.

You don't have permission to comment on this page.