Conditional Statements and Reasoning Quiz

Identify the hypothesis of the given conditional statement: If it is raining outside, then you will need an umbrella.

• Raining

• It is raining outside

• You need an umbrella

• If it is raining outside, then you will need an umbrella

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Identify the hypothesis of the given conditional statement: If it is cheese, then it contains calcium.

• Cheese

• Calium

• It contains calcium.

• It is cheese

Conditional statements which has two parts, the hypothesis and the conclusion.

• If statement

• Then statement

• If-Then statement

• Statement

The of the conditional is formed by interchanging the hypothesis and the conclusion.

• Converse

• Inverse

• Reverse

• Contrapositive

Identify the hypothesis in the statement.

• You like the ocean

• You are a good swimmer

• If you are a good swimmer, then you like the ocean.

• You are not a good swimmer.

Rewrite this definition as a biconditional statement: Obtuse angles are angles with measures greater than 90° and less than 180°.

• If an angle is obtuse then the angle measure is greater than 90° and less than 180°.

• An angle is obtuse if and only if the angle measure is greater than 90° and less than 180°.

• If an angle measure is greater than 90° and less than 180° , then the angle is obtuse.

• An angle is not obtuse if and only if the angle measure is not greater than 90° and less than 180°.

Write the negation of the statement "The dog is brown".

• The dog is black

• The dog is not brown

• The dog is not black

• Some dogs are golden

Tags

CCSS.HSS.CP.A.1

• If an animal is a puppy, then it is a dog.

• If an animal is not a puppy, then it is not a dog.

• If an animal is a dog, then it is a puppy.

• If an animal is not a dog then it is not a puppy.

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse. #18

• 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. 

Tags

CCSS.HSS.CP.A.1