outcome:

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-->

converse-->

if and only if statement:

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

example-->

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:

answer: