Chapter 2 Reasoning and Statements

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

• I have a Siberian Husky.
• I have a dog.

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

• I have a dog.
• I have a Siberian Husky.

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.

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

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

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

• they add up to 180 degrees
• the angles are supplementary

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. 

If an animal has fur, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

If it is a number, then it is either positive or negative. What is an appropriate counterexample?

• 10
• -2
• 0
• True. There is no counterexample.

If a shape is round, then it is a circle. What is an appropriate counterexample?

• hexagon
• oval
• triangle
• square

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