Conditional Statements If a condition is met, then the result will occur

Conditional Statements If a condition is met, then the result will occur Hypothesis: a condition is met

Conditional Statements If a condition is met, then the result will occur Hypothesis: a condition is met (antecedent) Conclusion: the result will occur (consequent)

Conditional Statements If a condition is met, then the result will occur Let p = a condition is met Let q = the result will occur

Conditional Statements If a condition is met, then the result will occur Let p = a condition is met Let q = the result will occur If a condition is met, then the result will occur

Identify the hypothesis and conclusion for each of the following:

Identify the hypothesis and conclusion for each of the following: If you build it, then he will come

Identify the hypothesis and conclusion for each of the following: If you build it, then he will come Hypothesis: you build it Conclusion: he will come

Identify the hypothesis and conclusion for each of the following: If the forecast is for rain, then I will take my umbrella

Identify the hypothesis and conclusion for each of the following: If the forecast is for rain, then I will take my umbrella Hypothesis: the forecast is for rain Conclusion: I will take my umbrella

Identify the hypothesis and conclusion for each of the following: If a polygon has six sides, then it is a hexagon

Identify the hypothesis and conclusion for each of the following: If a polygon has six sides, then it is a hexagon Hypothesis: a polygon has six sides Conclusion: it is a hexagon

A number is divisible by 10 if its last digit is a 0 Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A number is divisible by 10 if its last digit is a 0

A number is divisible by 10 if its last digit is a 0 Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A number is divisible by 10 if its last digit is a 0 Hypothesis: the last digit of a number is 0 Conclusion: the number is divisible by 10

Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A number is divisible by 10 if its last digit is a 0 Hypothesis: the last digit of a number is 0 Conclusion: the number is divisible by 10 If the last digit of a number is 0, then it is divisible by 10

Another performance will be scheduled if the first one is sold out Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Another performance will be scheduled if the first one is sold out

Another performance will be scheduled if the first one is sold out Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Another performance will be scheduled if the first one is sold out Hypothesis: the first performance is sold out Conclusion: another performance will be scheduled

Another performance will be scheduled if the first one is sold out Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Another performance will be scheduled if the first one is sold out Hypothesis: the first performance is sold out Conclusion: another performance will be scheduled If the first performance is sold out, then another one will be scheduled

A mammal is a warm blooded animal Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A mammal is a warm blooded animal

A mammal is a warm blooded animal Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A mammal is a warm blooded animal Hypothesis: an animal is a mammal Conclusion: it is a warm blooded animal

Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A mammal is a warm blooded animal Hypothesis: an animal is a mammal Conclusion: it is a warm blooded animal If an animal is a mammal, then it is a warm blooded animal

A prism with bases that are regular polygons is a regular prism Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A prism with bases that are regular polygons is a regular prism

A prism with bases that are regular polygons is a regular prism Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A prism with bases that are regular polygons is a regular prism Hypothesis: a prism has bases that are regular polygons Conclusion: it is a regular prism

A prism with bases that are regular polygons is a regular prism Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. A prism with bases that are regular polygons is a regular prism Hypothesis: a prism has bases that are regular polygons Conclusion: it is a regular prism If a prism has bases that are regular polygons, then it is a regular prism

Four quarters can be exchanged for a dollar Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Four quarters can be exchanged for a dollar

Four quarters can be exchanged for a dollar Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Four quarters can be exchanged for a dollar Hypothesis: you have four quarters Conclusion: you can exchange them for a dollar

Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. Four quarters can be exchanged for a dollar Hypothesis: you have four quarters Conclusion: you can exchange them for a dollar If you have four quarters, then you can exchange them for a dollar

The sum of the measures of two supplementary angles is 180° Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. The sum of the measures of two supplementary angles is 180°

The sum of the measures of two supplementary angles is 180° Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. The sum of the measures of two supplementary angles is 180° Hypothesis: two angles are supplementary Conclusion: the sum of the measures of their angles is 180°

The sum of the measures of two supplementary angles is 180° Identify the hypothesis and conclusion for each of the following, then write the statement in If…then form. The sum of the measures of two supplementary angles is 180° Hypothesis: two angles are supplementary Conclusion: the sum of their measures is 180° If two angles are supplementary, then the sum of their measures is 180°

Truth Values of Conditional Statements Mr. Falemawl made the following statement to four of his students, Gene, Paul, Peter and Ace. “If you do all of your homework, then you will pass this class.”

Truth Values of Conditional Statements Mr. Falemawl made the following statement to four of his students, Gene, Paul, Peter and Ace. “If you do all of your homework, then you will pass this class.” Gene did all of his homework, and he passed the class Paul did all of his homework, but he failed the class Peter did not do all of his homework, but still passed the class Ace did not do all of the homework, and he failed the class

“If you do all of your homework, then you will pass this class.” To which, if any, of these students did Mr. Falemawl lie? Gene did all of his homework, and he passed the class Paul did all of his homework, but he failed the class Peter did not do all of his homework, but still passed the class Ace did not do all of the homework, and he failed the class

For each of these statement below, if Mr For each of these statement below, if Mr. Falemawl lied, then put an F at the end of the statement. If Mr. Falemawl did NOT lie, then place a T at the end of the statement. Gene did all of his homework, and he passed the class Paul did all of his homework, but he failed the class Peter did not do all of his homework, but still passed the class Ace did not do all of the homework, and he failed the class

Let p represent the statement “did the homework” and let q represent the statement “passed the class.” Place the symbols T and F in the blanks in order to represent each of the four statements about Gene, Paul, Peter and Ace. Then determine the truth value of each statement.

Let p represent the statement “did the homework” and let q represent the statement “passed the class.” Place the symbols T and F in the blanks in order to represent each of the four statements about Gene, Paul, Peter and Ace. Then determine the truth value of each statement.

If next month is August, then this month is July Warm Up Identify the hypothesis and conclusion of the following statement, then write the negation of the hypothesis and the negation of the conclusion If next month is August, then this month is July

If next month is August, then this month is July Warm Up Identify the hypothesis and conclusion of the following statement, then write the negation of the hypothesis and the negation of the conclusion If next month is August, then this month is July Hypothesis: next month is August Conclusion: this month is July

If next month is August, then this month is July Warm Up If next month is August, then this month is July Hypothesis: next month is August Conclusion: this month is July Negation: next month is not August Negation: this month is not July

Converse, Inverse and Contrapositive

If next month is August, then this month is July Find the converse, inverse and contrapositive of If next month is August, then this month is July

If next month is August, then this month is July Find the converse, inverse and contrapositive of If next month is August, then this month is July Converse: If this month is July, then next month is August

If next month is August, then this month is July Find the converse, inverse and contrapositive of If next month is August, then this month is July Converse: If this month is July, then next month is August Inverse: If next month is not August, then this month is not July

If next month is August, then this month is July Find the converse, inverse and contrapositive of If next month is August, then this month is July Converse: If this month is July, then next month is August Inverse: If next month is not August, then this month is not July Contrapositive: If this month is not July, then next month is not August

Find the Truth Value of each statement Statement: If next month is August, then this month is July True Converse: If this month is July, then next month is August True Inverse: If next month is not August, then this month is not July True Contrapositive: If this month is not July, then next month is not August True

Related Conditionals Statement Converse Inverse Contrapositive

True If an animal is a lion, then it is a cat that can roar Write the converse, inverse and contrapositive of the statement below. Then determine the truth value of each of the four statements If an animal is a lion, then it is a cat that can roar True

False If an animal is a lion, then it is a cat that can roar Converse Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If an animal is a lion, then it is a cat that can roar Converse If an animal is a cat that can roar, then it is a lion False

False If an animal is a lion, then it is a cat that can roar Inverse Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If an animal is a lion, then it is a cat that can roar Inverse If an animal is not a lion, then it is not a cat that can roar False

True If an animal is a lion, then it is a cat that can roar Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If an animal is a lion, then it is a cat that can roar Contrapositive If an animal is not a cat that can roar, then it is not a lion True

Statement Converse Inverse Contrapositive If an animal is a lion, then it is a cat that can roar Statement Converse Inverse Contrapositive

True If two angles have the same measure, then they are congruent Write the converse, inverse and contrapositive of the statement below. Then determine the truth value of each of the four statements If two angles have the same measure, then they are congruent True

True If two angles have the same measure, then they are congruent Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If two angles have the same measure, then they are congruent Converse If two angles are congruent, then they have the same measure True

True If two angles have the same measure, then they are congruent Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If two angles have the same measure, then they are congruent Inverse If two angles do not have the same measure, then they are not congruent True

True If two angles have the same measure, then they are congruent Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If two angles have the same measure, then they are congruent Contrapositive If two angles are not congruent, then they do not have the same measure. True

Statement Converse Inverse Contrapositive If two angles have the same measure, then they are congruent Statement Converse Inverse Contrapositive

False If a number is divisible by 2, then it is divisible by 4 Write the converse, inverse and contrapositive of the statement below. Then determine the truth value of each of the four statements If a number is divisible by 2, then it is divisible by 4 False

True If a number is divisible by 2, then it is divisible by 4 Converse Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If a number is divisible by 2, then it is divisible by 4 Converse If a number is divisible by 4, then it is divisible by 2 True

True If a number is divisible by 2, then it is divisible by 4 Inverse Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If a number is divisible by 2, then it is divisible by 4 Inverse If a number is not divisible by 2, then it is not divisible by 4 True

False If a number is divisible by 2, then it is divisible by 4 Write the converse, inverse and contrapositive of the statement below and determine the truth value of each of the four statements If a number is divisible by 2, then it is divisible by 4 Contrapositive If a number is not divisible by 4, then it is not divisible by 2. False

Statement Converse Inverse Contrapositive If two angles have the same measure, then they are congruent Statement Converse Inverse Contrapositive