Conditional and Converse Statements

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

What is the converse to this statement?

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.

What are the two conditional statements that form this biconditional statement?
The next month is July if and only if this month is June

• Conditional #1 - If this month is June, then last month was May.
  Conditional #2 - If next month is July, then this month is June.
• Conditional #1 - If this month is May, then next month is June.
  Conditional #2 - If next month is July, then this month is June.
• Conditional #1 - If this month is not June, then next month cannot be July.
  Conditional #2 - If next month is not July, then this month is not June.
• Conditional #1 - If this month is June, then next month is July.
  Conditional #2 - If next month is July, then this month is June.

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

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

Tags

CCSS.HSS.CP.A.3

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

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

Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

• If angles are congruent.
• Angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.HSG.SRT.B.5

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

• If the angles are congruent.
• The angles are congruent.
• Then the measures of the angles are equal.
• The measures of the angles are equal.

Tags

CCSS.7.G.B.5

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