Logical Reasoning

Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.

• Hypothesis: I will be your best friend
  Conclusion: you give me twenty dollars
• Hypothesis: you give me twenty dollars
  Conclusion: I will be your best friend
• Hypothesis: if you have to pay for friends
  Conclusion: then you probably should reevaluate your life
• Hypothesis: you will not have to pay twenty dollars
  Conclusion: if you have lots of friends

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.

Tags

CCSS.L.2.1F

CCSS.L.1.1J

CCSS.L.4.1C

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

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

Tags

CCSS.4.G.A.1

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.

Tags

CCSS.HSG.CO.C.11

When taking the converse we ___________ the hypothesis and conculsion

• negate
• switch
• highlight
• switch and negate

Which is the correct if-then statement for: "you will be late to school if you miss the bus."

• If you are late to school, then you will miss the bus.
• If you miss the bus, then you will be late to school
• If you sleep late, then you don't have to go to school.
• If you miss the bus, then you'll have to walk and be late.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A