2-3 Conditional statements...George Santayana Conditional: → If you do not remember the past, then...

DO NOW…

1. Compare/Contrast the vocabulary words

CONJUNCTION and DISJUNCTION.

2. Create your own example to illustrate each.

HONORS GEOMETRY

2.1 INDUCTIVE REASONING & PROOF

2.2 LOGIC

2.3 CONDITIONAL STATEMENTS

VOCABULARY

� Conditional statement

� if-then statements

� hypothesis

� conclusion

� converse

� inverse

� contrapositive

IF-THEN STATEMENTS

�Identify the HYPOTHESIS and CONCLUSION.

If you attend CDHS, then your mascot is the Ram.

(The hypothesis/conclusion DOES NOT include the IF and THEN)

IF-THEN STATEMENTS

�Identify the HYPOTHESIS and CONCLUSION.

If you attend CDHS, then your mascot is the Ram.

H: you attend CDHS

C: your mascot is the Ram

(The hypothesis/conclusion DOES NOT include the IF and THEN)

CHANGE THE STATEMENT TO IF-THEN FORM, THEN

IDENTIFY THE HYPOTHESIS AND CONCLUSION.

The intersection of two planes is a line.




If two planes intersect, then a line is formed.




If two planes intersect, then a line is formed.

H: two planes intersect

C: a line is formed

NOTATION

The sum of the measures of two complimentary angles is 90˚.

� Conditional: � → �

NOTATION



� If two angles are complementary, then the sum of their measures is 90˚.

NOTATION




� Inverse: ~� → ~�

NOTATION




� Inverse: ~� → ~�

� If two angles are not complementary, then the sum of their measures is

not 90˚.

NOTATION




� Inverse: ~� → ~�

� If two angles are not complementary, then the sum of their measures is

not 90˚.

� Converse: � → �

�

NOTATION




� Inverse: ~� → ~�

� If two angles are not complementary, then the sum of their measures is not 90˚.


� If the sum of the measures of two angles is 90˚, then they are complementary.

NOTATION




� Inverse: ~� → ~�




� Contrapositive: ~� → ~�

NOTATION




� Inverse: ~� → ~�





� If the sum of the measures of two angles is not 90˚, then they are not complementary.

YOUR TURN...WRITE THE INVERSE,

CONVERSE, AND CONTRAPOSITIVE


If it is down-pouring rain, then it is cloudy outside.

� Inverse: ~� → ~�



YOUR TURN...WRITE THE INVERSE,

CONVERSE, AND CONTRAPOSITIVE


If it is down-pouring rain, then it is cloudy outside.

� Inverse: ~� → ~�

If it is not down-pouring rain, then it is not cloudy outside.


If it is cloudy outside, then it is down-pouring rain.


If it is not cloudy outside, then it is not down-pouring rain.

WRITE THE INVERSE, CONVERSE, AND

CONTRAPOSITIVE FOR THE STATEMENT BELOW:

“Those who do not remember the past are condemned to

repeat it” – George Santayana






� If you do not remember the past, then you are condemned to repeat

it.






� If you do not remember the past, then you are condemned to repeat

it.

� Inverse: ~� → ~�

� If you do remember the past, then you are not condemned to repeat

it.






� If you do not remember the past, then you are condemned to repeat it.

� Inverse: ~� → ~�

� If you do remember the past, then you are not condemned to repeat it.


� If you are condemned to repeat the past, then you do not remember the

past.



“Those who do not remember the past are condemned to repeat it” –George Santayana


� If you do not remember the past, then you are condemned to repeat it.

� Inverse: ~� → ~�

� If you do remember the past, then you are not condemned to repeat it.


� If you are condemned to repeat the past, then you do not remember the past.


� If you are not condemned to repeat the past, then you do remember the past.

2-3 Conditional statements...George Santayana Conditional: → If you do not remember the past, then...

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