Math Example--Coordinate Geometry--Distance Formula: Example 20

Topic

Geometry

Description

This example illustrates the use of the distance formula to calculate the horizontal distance between two points on a coordinate plane. The points (0, 0) and (8, 0) are plotted on a graph, and the distance between them is determined using the formula: √((0 - 8)² + (0 - 0)²) = √64 = 8.

The distance formula is a key concept in coordinate geometry, allowing students to find the length of a line segment given the coordinates of its endpoints. This collection of examples showcases various applications of the formula, helping students understand its versatility in solving geometric problems across different scenarios, including points on the same axis and distances that simplify to whole numbers.

Providing multiple worked-out examples is essential for students to fully comprehend the distance formula and its applications. By observing the formula in action across different contexts, students can develop a more robust understanding of how to apply it effectively. This approach also reinforces the step-by-step process of using the formula, enabling students to tackle similar problems with confidence.

Teacher Script: "In this twentieth example, we're working with the points (0, 0) and (8, 0). Notice how both points are on the x-axis. As we apply the distance formula, pay attention to how this affects our calculation. What happens to the second term under the square root? How does this simplify our calculation, and why is our final answer equal to the difference of the x-coordinates?"

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