G.1a Conditional Statements

What is the hypothesis of the following statement: "If Johnny is late to school, then his mom will have to drive him."

• His mom will have to drive him
• If Johnny is late to school
• Johnny is late to school
• Then his mom will have to drive him

What is the conclusion of the following statement: "The angles are supplementary, if they add up to 180 degrees."

• if they add up to 180 degrees
• the angles are supplementary
• they add up to 180 degrees
• there is no conclusion

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

What is the converse?
If we are at the park, then we will swing.

• If we are not at the park, then we will not swing.
• If we will not swing, then we are at the park.
• If we are at the park, then we will  not swing.
• If we will swing, then we are at the park.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.5

What is the contrapositive?
If Bobby joins soccer, then he will have to practice after school.

• If Bobby does not join soccer, then he will not have to practice after school.
• If Bobby has to practice after school, then he joined soccer.
• If Bobby does not have to practice after school, then he did not join soccer.
• If Bobby does not have to practice after school, then he did join soccer.

Tags

CCSS.HSS.CP.A.5

What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.

• If Jason goes out to dinner, then he will not come to the volleyball game.
• If Jason comes to the volleyball game, then he will not go out to dinner.
• If Jason comes to the volleyball game, then he will go out to dinner.
• If Jason does not go out to dinner, then he will not come to the volleyball game.

Tags

CCSS.HSF.BF.B.4

Original: If Jenny buys a guitar, then she will not buy a keyboard.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.HSS.CP.A.1

What is the bi-conditional statement of the following conditional statement?
“If Shelly lives in Texas, then she lives in the United States.”

• If Shelly lives in Texas, then she lives in the United States.
• If Shelly lives in the United States, then she lives in Texas.
• Shelly lives in Texas if and only if she lives in the United States.
• If Shelly does not live in Texas, then she does not live in the United States.