Question

2.6.6 check your understanding
a conditional statement is given. \if a polygon has exactly three sides, then it is a quadrilateral.\ complete the statements.
the statement, \if a polygon has exactly 3 sides, then it is a quadrilateral.\ is never a true statement. therefore, the statement can be rewritten as, \
if a polygon has exactly 3 sides, then it is never a quadrilateral.
all polygons that have exactly 3 sides are quadrilaterals.
some polygons that have exactly 3 sides are quadrilaterals.

Explanation:

A polygon with exactly 3 sides is a triangle, and a triangle is not a quadrilateral (which has 4 sides). So the original conditional statement is false and should be rewritten to correctly reflect this fact.

Answer:

If a polygon has exactly 3 sides, then it is never a quadrilateral.