Geometry Review QUIZ 2

Which of the following illustrations is a counterexample to the statement “Vertical angles are never complementary angles.”

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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 ∨ q

• p ∧ q

• p → q

• p ↔ q

Which statement is true?

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

• The diagonals of a rhombus are congruent or 10 is a prime number.

• 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.

Let p represent the statement “Jack goes camping this weekend.” Let q represent the statement “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 is does not rain then the softball game will not be canceled"

Statement B is the –

• Inverse

• Converse

• Contrapositive

• Biconditional

Statement X: "If two circles are congruent, then their diameters are congruent."

Statement Y: “If the diameters of two circles are congruent, then the circles are congruent.”

Statement Y is the __

• A. Inverse

• B. Converse

• C. Contrapositive

• D. Biconditional

Which statement is false?

• A. A number is even if and only if it is divisible by 2.

• B. 3x = 15 if and only if x = 5.

• C. Two points are collinear if and only if they lie on the same line.

• D. Two angles form a linear pair if and only if they are adjacent.

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.

Given the statements 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.