Classifying polygons involves identifying their types based on the number of sides and angles they possess. Triangles, quadrilaterals, pentagons, and hexagons are common examples. The distance formula, derived from the Pythagorean theorem, allows us to calculate the length of a line segment in the coordinate plane, which is crucial for determining side lengths of polygons. By combining these concepts, we can accurately describe and analyze geometric shapes.
This worksheet will help you practice classifying polygons based on their properties and use the distance formula to find the lengths of their sides. Get ready to sharpen your geometry skills! 🚀
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Polygon | A. A polygon with four sides. |
| 2. Triangle | B. A closed plane figure formed by three line segments. |
| 3. Quadrilateral | C. A polygon with five sides. |
| 4. Pentagon | D. A closed plane figure formed by line segments. |
| 5. Distance Formula | E. $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ |
Complete the following paragraph using the words: vertices, sides, angles, distance formula, classify.
To ________ polygons, we examine their ________ and ________. The ________ is used to find the length of a line segment between two ________, which helps determine the type of polygon.
Explain how the distance formula can be used to determine if a triangle with given vertices is an equilateral triangle.
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