write the negatation of the hypothesis and the negatation of the conclusion of the conditional if a polygon is a heptagon, then the polygon has exactly 14 diagonals. what is the negatation of the hypothsis?

write the negatation of the hypothesis and the negatation of the conclusion of the conditional if a polygon is a heptagon, then the polygon has exactly 14 diagonals. what is the negatation of the hypothsis?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

write the negatation of the hypothesis and the negatation of the conclusion of the conditional

if a polygon is a heptagon, then the polygon has exactly 14 diagonals.

what is the negatation of the hypothsis?

Definition Definition Two-dimentional plane figure composed of a finite number of straight line segments connected to form a closed chain or circuit. A polygonal circuit's segments are known as its edges or sides, and the points where two edges meet are known as its vertices or corners.

Expert Solution

Step 1

If we have given two statements P &Q

And joint as if "P" then "Q"

Then negation of this statement is given as

P and not Q

In given hypothesis

P = a polygon is a heptagon

Q = polygon has exactly 14 diagonals

So the negation of the given hypothesis becomes

Step by step

Solved in 2 steps

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