Write the contrapositive of the conditional statement.
I will wear the blue dress if I get invited to prom.
A)If I wear the blue dress then I will get invited to the prom
B)If I don't get invited to prom, then I won't wear the blue dress.
C)If I don't wear the blue dress, then I won't get invited to the prom.
D)If I don't wear the blue dress, then I will get invited to the prom.

Question

Quizplus · Accepted Answer

The contrapositive of the conditional statement "I will wear the blue dress if I get invited to prom" is "If I don't wear the blue dress, then I won't get invited to prom." This is because the contrapositive of a conditional statement switches the hypothesis and conclusion and negates them. The contrapositive of a conditional statement switches the order and negates both parts of the statement. So the contrapositive of "I will wear the blue dress if I get invited to prom" is "If I don't wear the blue dress, then I won't get invited to the prom." This makes the statement logically equivalent to the original conditional statement. Choice C is the only option that matches this contrapositive.

Write the Contrapositive of the Conditional Statement