Conditional and Converse Statements

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

• 70⁰

• 45⁰

• 120⁰

• True. There is no counterexample.

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

• goldfish

• frog

• cat

• True. There is not counterexample.

If you square a number, then the answer is positive. What would be an appropriate counterexample?

• $\left(-2\right)^2$

• $\left(2\right)^2$

• $\left(-50\right)^2$

• True. There is no counterexample

What type of statement is this?

• Conditional

• Converse

• Inductive Reasoning

• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

What type of statement is this?

• Conditional

• Converse

• Inductive Reasoning

• THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

When taking the converse we ___________ the hypothesis and conclusion.

• don't change

• switch

• highlight

• delete

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

• If I have a dog, then I have a Siberian Husky.

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

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 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.

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

What is the converse to this statement:

"If it is dark outside, than it is night"

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

• If it is not night, then it is not dark outside.

• If it is night, then it is dark outside

• It is night.

If the following statement is a converse statement, then what would be the original conditional statement?

If the food is cooking, then the food is in the oven.

• If the food is in the oven, then the food is cooking.

• If the food is cooking, then the food is in the oven.

• If the food is not in the oven, then the food is cooking.

• If the food is not in the oven, then the food is not cooking.

Tags

CCSS.HSS.CP.A.3