Conditional Statements

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• HI have a dog.

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

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

• If the measures of the angles are equal, then the angles are congruent.
• "If angles are not congruent, then the measures of the angles are not equal."
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Is this statement true?

• True.  Class can't happen if a chair isn't occupied.
• False.  There are empty chairs here.
• True. 
• True.  There are no chairs here, so the hypothesis is true.

If something is an angle, then it is acute. What is an appropriate counterexample?

• 70⁰
• 45⁰
• 120⁰
• True. There is no counterexample.

If something is a vehicle, then it is a Ford. What is an appropriate counterexample?

• Ford Mustang
• Dodge Charger
• Ford F150
• Both A and C are counterexamples.

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

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

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

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

Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."

• If you don't diet and exercise, then you will not lose weight.
• If you don't diet and exercise, then you will lose weight.
• If you lose weight, then you dieted and exercised.
• If you don't lose weight, then you diet and exercise.