AnswersFL-1206310-Geometry A - FlexConditional Statements and Equivalence

Conditional Statements and Equivalence Answers

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Given the statement "If a line is horizontal, then it has slope equal to zero,” what is its contrapositive?

A
If a line is horizontal, then it has zero slope.
B
If a line has zero slope, then it is a horizontal line.
C
If a line is not horizontal, then it does not have zero slope.
D
If a line does not have zero slope, then it is not a horizontal line.
2
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Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?

A
If there is not a lightning storm, then we will go swimming.
B
If there is not a lightning storm, then we won’t go swimming.
C
If we go swimming, then there will not be a lightning storm.
D
If we don’t go swimming, then there will be a lightning storm.
3

Based on the diagram, which is a true statement?

A
If a student plays in the band, then he/she is an honor student.
B
If a student is an honor student, then he/she plays in the band.
C
If a student is not an honor student, then he/she cannot play in the band.
D
If a student is an honor student, then he/she may also be a band member.
4

Determine the truth value of the given conditional statement.Given: If 3 is an even number, then 5 + 3 = 8.

A
A true statement implies a true statement, so the conditional statement is true.
B
A true statement implies a false statement, so the conditional statement is true.
C
A false statement implies a true statement , so the conditional statement is true.
D
A false statement implies a true statement , so the conditional statement is false.
5

Let n be a whole number, and consider the statements below.p: n is a multiple of two.q: n is an even number.Which of the following is equivalent to ~q → ~p?

A
~q → ~p
B
q → p
C
p → q
D
~p →~q

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