Geometry Review Quiz 2

Which of the following illustrations is a counterexample to the statement "vertical angles are never complementary angles".

Tags

CCSS.7.G.B.5

Let p represent the statement "Mary works at the water park." Let q represent the statement "Mary takes college classes."

Which symbolic notation represents the statement "Mary works at the water park or takes college classes."?

• p V q

• p ^ q

• p --> q

• p <--> q

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

Which statement represents the contrapositive of

"The diagonals of a rhombus are congruent and 10 is a prime number."?

• Ten is a prime number and the diagonals of a rhombus are congruent.

• Ten is not a prime number and the diagonals of a rhombus are not congruent.

• The diagonals of a rhombus are not congruent and 10 is not a prime number.

• The diagonals of a rhombus are congruent and 10 is not a prime number.

Tags

CCSS.2.G.A.1

Let p represent the statement

"Jack goes camping this weekend."

Let q represent

"Jack plays golf this weekend."

Which symbolic notation represents the statement "If Jack goes camping this weekend, then he will not golf."?

• p --> ~q

• ~p --> q

• ~p --> ~q

• p ^ ~q

Which is the contrapositive of the statement "If a number is a natural number, then it is an integer."?

• If a number is an integer, then it is a natural number.

• If a number is not a natural number, then it is not an integer

• If a number is not an integer, then it is not a natural number.

• If a number is not a natural number, then it is an integer.

Statement A: "If it rains, then the softball game will be canceled."

Statement B: If it does not rain, then the softball game will not be canceled."

Statement B is the-

• Inverse

• Converse

• Contrapositive

• Biconditional

Given the statement below, which is a valid conclusion?

If it is Tuesday , then Luke has Math Club.

If Luke has Math Club, then he will take the late bus.

• If it is not Tuesday , then Luke does not have math club.

• If it is Tuesday, then Luke will take the late bus.

• If Luke takes the late bus, then it is Tuesday.

• If Luke does not have Math Club, then he will not take the late bus.

In which group of statements is the conclusion justified by the pair of previous statements?

• Given:If Jane is a registered voter, then she is at least 18 years old.

  Given: Jane is not a registered voter.

  Conclusion: Jane is not at least 18 years old.

• Given: If Sam goes to Disney World, then he is in Florida.

  Given: Sam is in Florida.

  Conclusion: Sam goes to Disney World.

• Given: If Mark goes on the boat, then he must wear a life jacket.

  Given: Mark goes on the boat.

  Conclusion: Mark is wearing a life jacket.

• Given: To be in the school musical, students must first audition.

  Given: Kendra auditions for the musical.

  Conclusion: Kendra is in the musical.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8

If the test is tomorrow I will study.

The test is tomorrow.

What can you conclude?

• I passed the test.

• I studied.

• I failed the test.

• I took the test.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.9-10.1

Which is an example of the Law of Syllogism?

• If there is pizza, then I will eat it. There is pizza. I ate it.

• If there is pizza, then I will eat it. If I eat it, I will get a stomach ache. There was pizza, I got a stomach ache.

• If there is not pizza I will not eat it.

• If I don't eat, I will not get a stomach ache.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

CCSS.RI.8.8