Question

what is the negation of the conclusion?

a. a polygon has angles that all measure 120°.

b. if a polygon has angles that all measure 120°, then the polygon is not a regular hexagon.

c. if a polygon does not have angles that all measure 120°, then the polygon is not a regular hexagon.

d. if a polygon does not have angles that all measure 120°, then the polygon is a regular hexagon.

e. a polygon does not have angles that all measure 120°.

f. a polygon is a regular hexagon.

g. a polygon is not a regular hexagon.

Explanation:

To solve this, we first need to understand the context (likely a conditional statement about polygons, e.g., "If a polygon has angles that all measure \(120^\circ\), then the polygon is a regular hexagon"). The conclusion of such a conditional (\(p \to q\)) is \(q\) ("the polygon is a regular hexagon"). The negation of \(q\) (a statement "A polygon is a regular hexagon") is "A polygon is not a regular hexagon".

The conclusion in a conditional (like "If \(p\), then \(q\)") is \(q\). Here, \(q\) would be "A polygon is a regular hexagon". The negation of "a polygon is a regular hexagon" is "a polygon is not a regular hexagon".

Answer:

G. A polygon is not a regular hexagon