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E12

This version was saved 16 years, 9 months ago View current version     Page history
Saved by PBworks
on June 11, 2007 at 11:07:03 pm
 

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--> If water can be turned into ice, then ice can be turned into water

converse-->If ice can be turned into water, then water can be turned into ice

This is a true statement !!!

 

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: Does this statement have a true converse statement. If so write it as a if and only if statement.

 

Question: If next month is July, then this month is June  

 

 

 

answer:Yes is does. If this month is June, then next month is July.

If next month is July IFF this month is June

 

 

Nicole and Tommy

 

 

 

 

 

 

 

 

 

 

 

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