Math Example--Coordinate Geometry--Distance Formula: Example 1

Topic

Geometry

Description

This example demonstrates the application of the distance formula to find the distance between two points on a coordinate plane. The points (3, 3) and (7, 6) are plotted on a graph, and the distance between them is calculated using the formula: √((6 - 3)² + (7 - 3)²) = 5.

The distance formula is a fundamental concept in coordinate geometry, derived from the Pythagorean theorem. It allows students to calculate the length of a line segment given the coordinates of its endpoints. This collection of examples provides a comprehensive look at various scenarios where the distance formula can be applied, helping students understand its versatility and importance in solving geometric problems.

Presenting multiple worked-out examples is crucial for students to fully grasp the concept of the distance formula. By seeing the formula applied in different contexts, such as points in different quadrants or along the same axis, students can develop a deeper understanding of how to use it effectively. This approach also helps reinforce the steps involved in applying the formula, making it easier for students to solve similar problems independently.

Teacher Script: "Let's look at our first example of using the distance formula. We have two points on our coordinate plane: (3, 3) and (7, 6). To find the distance between these points, we'll plug their coordinates into our formula. Remember, the distance formula is derived from the Pythagorean theorem, which we've studied before. As we work through this example, think about how the formula relates to finding the length of the hypotenuse in a right triangle."

For a complete collection of math examples related to Geometry click on this link: Math Examples: Distance Formula Collection.