4
QuizMultiple Choice

Conditional Statements and Equivalence — Quiz

Question 4 • MASTER COURSE Geometry

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function.

Answer
A
If two variables are not directly proportional, then their graph is not a linear function.
B
If the graph of two variables is not a linear function, then the two variables are not directly proportional.
C
If two variables are directly proportional, then their graph is not a linear function.
D
If the graph of two variables is a linear function, then the two variables are directly proportional.

Explanation

A conditional statement has the form “if P, then Q.” Its contrapositive is “if not Q, then not P.” Here, P is “the variables are directly proportional,” and Q is “their graph is a linear function.” So the contrapositive is: “If the graph is not a linear function, then the variables are not directly proportional,” which is choice B.

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