Restate in a logically equivalent form.
-If a triangle is equilateral, then its sides are equal.
A)If the sides of a triangle are equal, then it is not equilateral.
B)If a triangle is not equilateral, then its sides are equal.
C)If the sides of a triangle are not equal, then it is equilateral.
D)If the sides of a triangle are not equal, then it is not equilateral.

Question

Quizplus · Accepted Answer

The original statement is a conditional statement of the form "If P, then Q." The logically equivalent form is the contrapositive, which is "If not Q, then not P." Therefore, if the sides of a triangle are not equal (not Q), then it is not equilateral (not P).

Restate in a Logically Equivalent Form