Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
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.