Write the contrapositive of the statement. Then use the contrapositive to determine whether to conditional statement is true or false.
-If the sum of the interior angles of a polygon does not measure 180°, then the polygon is not a Triangle.
A) If the polygon is a triangle, then the sum of the interior angles of the polygon measures 180°. true
B) If the polygon is not a triangle, then the sum of the interior angles of the polygon do not measure 180°. true
C) If the polygon is not a triangle, then the sum of the interior angles of the polygon do not measure 180°. false
D) If the polygon is a triangle, then the sum of the interior angles of the polygon measures 180°. false

Question

Quizplus · Accepted Answer

The contrapositive of the given statement is correctly represented in choice A. The contrapositive of a conditional statement "If P, then Q" is "If not Q, then not P." Therefore, the contrapositive of the given statement is "If the polygon is a triangle, then the sum of the interior angles of the polygon measures 180°," which is true because by definition, the sum of the interior angles of a triangle is always 180°.

Write the Contrapositive of the Statement