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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.
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.
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.
H: two planes intersect
C: a line is formed
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
� If two angles are not complementary, then the sum of their measures is
not 90˚.
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
� If two angles are not complementary, then the sum of their measures is
not 90˚.
� Converse: � → �
�
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
� If two angles are not complementary, then the sum of their measures is not 90˚.
� Converse: � → �
� If the sum of the measures of two angles is 90˚, then they are complementary.
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
� If two angles are not complementary, then the sum of their measures is not 90˚.
� Converse: � → �
� If the sum of the measures of two angles is 90˚, then they are complementary.
� Contrapositive: ~� → ~�
NOTATION
The sum of the measures of two complimentary angles is 90˚.
� Conditional: � → �
� If two angles are complementary, then the sum of their measures is 90˚.
� Inverse: ~� → ~�
� If two angles are not complementary, then the sum of their measures is not 90˚.
� Converse: � → �
� If the sum of the measures of two angles is 90˚, then they are complementary.
� Contrapositive: ~� → ~�
� 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
� Conditional: � → �
If it is down-pouring rain, then it is cloudy outside.
� Inverse: ~� → ~�
� Converse: � → �
� Contrapositive: ~� → ~�
YOUR TURN...WRITE THE INVERSE,
CONVERSE, AND CONTRAPOSITIVE
� Conditional: � → �
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.
� Converse: � → �
If it is cloudy outside, then it is down-pouring rain.
� Contrapositive: ~� → ~�
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
WRITE THE INVERSE, CONVERSE, AND
CONTRAPOSITIVE FOR THE STATEMENT BELOW:
“Those who do not remember the past are condemned to
repeat it” – George Santayana
� Conditional: � → �
� If you do not remember the past, then you are condemned to repeat
it.
WRITE THE INVERSE, CONVERSE, AND
CONTRAPOSITIVE FOR THE STATEMENT BELOW:
“Those who do not remember the past are condemned to
repeat it” – George Santayana
� Conditional: � → �
� 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.
WRITE THE INVERSE, CONVERSE, AND
CONTRAPOSITIVE FOR THE STATEMENT BELOW:
“Those who do not remember the past are condemned to
repeat it” – George Santayana
� Conditional: � → �
� 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.
� Converse: � → �
� If you are condemned to repeat the past, then you do not remember the
past.
WRITE THE INVERSE, CONVERSE, AND
CONTRAPOSITIVE FOR THE STATEMENT BELOW:
“Those who do not remember the past are condemned to repeat it” –George Santayana
� Conditional: � → �
� 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.
� Converse: � → �
� If you are condemned to repeat the past, then you do not remember the past.
� Contrapositive: ~� → ~�
� If you are not condemned to repeat the past, then you do remember the past.
WRITE THE INVERSE, CONVERSE, AND
CONTRAPOSITIVE FOR THE STATEMENT BELOW:
“Those who do not remember the past are condemned to repeat it” –George Santayana
� Conditional: � → �
� 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.
� Converse: � → �
� If you are condemned to repeat the past, then you do not remember the past.
� Contrapositive: ~� → ~�
� If you are not condemned to repeat the past, then you do remember the past.
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