Conditionals after 1-6-3

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

• I have a dog

• I have a Siberian Husky

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

• I have a dog

• I have a Siberian Husky

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

• Heptagon

• Decagon

• Triangle

• Oval

Q. A biconditional statement contains what words?

• true and false

• if and then

• if and only if

• right and wrong

Q. 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.

Which of the following statements is the converse of "If the moon is full, then the vampires are prowling."?

• If the vampires are prowling, then the moon is full.
• If the moon is not full, then the vampires are prowling.
• If the vampires are not prowling, then the moon is not full.

Which of the following statements is the converse of "You cannot skateboard if you do not have a sense of balance."?

• If you cannot skateboard, then you do not have a sense of balance.
• If you do not have a sense of balance, then you cannot skateboard.
• If you skateboard, then you have a sense of balance.

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. Nobody sits down so we don't do work.
• 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.