Logic and Conditional Statement Quiz

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If it is a trapezoid, then the polygon is a quadrilateral.

• A rectangle is also a quadrilateral.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Tags

CCSS.HSG.CO.A.1

Given: If I get an A on my test then my mom will buy me a TV. I got a 94 on my test.

What conclusion can be made.

• I got a 94 on my test.

• I got an A on my test.

• My mom will buy me a TV.

• I must have cheated.

Which statement is the contrapositive of the given statement?

If a person is a banjo player, then the person is a musician.

• If a person is not a musician, then the person is not a banjo player.

• If a person is not a banjo player, then the person is a musician.

• If a person is not a banjo player, then the person is not a musician.

• If a person is a musician, then the person is a banjo player.

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

• 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.

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.

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

• goldfish
• frog
• elephant
• cat

Tags

CCSS.HSS.CP.A.5

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

• 10

• -2

• 0

• There is no counterexample.

Let p= Ms. Suarez likes Spongebob and q= Ms. Suarez is not sick

Write the following in symbolic form: Ms.Suarez is not sick or Ms.Suarez likes Spongebob

• p V q

• q V p

• ~q ^ ~p

• ~ p V ~q

Let p= I love going to the beach and q= I do not like vegetables.

Write the following in symbolic form: I do like vegetables and I do not love going to the beach.

• ~p V ~q

• ~q V ~p

• q ^ p

• ~q ^ ~p