FTCE Professional Education Practice Exam

What is perimeter defined as in geometry?

1. A measurement of the interior angle

2. The total distance around a polygon

3. The area of a polygon

4. The side lengths squared

The correct answer is: The total distance around a polygon

Perimeter is defined as the total distance around a polygon. It is calculated by summing the lengths of all the sides of the polygon. This concept is crucial in geometry because it helps in determining the boundary length of various shapes, which can be significant in various practical applications, such as fencing a yard or framing a picture. The other options do not accurately reflect the definition of perimeter. For instance, a measurement of the interior angle pertains to the angles within a shape, not the distance around it. The area of a polygon refers to the space contained within its boundaries, rather than the perimeter. Likewise, the phrase "side lengths squared" does not apply to perimeter, as it conveys no meaningful relationship to the concept of distance around a shape. Therefore, the correct understanding of perimeter directly aligns with the total length encircling a geometrical figure.