Download 2-3 Conditional statements

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.