Questions: A segment that connects any two nonconsecutive vertices is a side. True False

A segment that connects any two nonconsecutive vertices is a side. True False
Transcript text: A segment that connects any two nonconsecutive vertices is a side. True False
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Solution

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Solution Steps

To determine if the statement is true or false, we need to understand the definition of a segment that connects two nonconsecutive vertices in a polygon. Such a segment is called a diagonal, not a side. Therefore, the statement is false.

Step 1: Understanding the Definition

A segment that connects any two nonconsecutive vertices in a polygon is known as a diagonal. A side, on the other hand, is a segment that connects two consecutive vertices.

Step 2: Analyzing the Statement

The statement claims that a segment connecting two nonconsecutive vertices is a side. Based on the definitions, this is incorrect because such a segment is a diagonal, not a side.

Final Answer

The statement is \(\boxed{\text{False}}\).

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