Exit Ticket -Homework Exercise: Calculating Distances Using Coordinates

Wrap up your geometry lesson with Exit Ticket – Calculating Distances Using Coordinates! This focused review helps you practice finding the distance between two points on a coordinate plane using the Distance Formula — a key concept in both geometry and algebra. You’ll use logic, precision, and a little bit of number sense to measure how far one point is from another!

You’ll begin by reviewing the Distance Formula, which comes from the Pythagorean Theorem:

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x₂ - x₁)² + (y₂ - y₁)²}d=(x2​−x1​)2+(y2​−y1​)2​

You’ll apply this formula to pairs of coordinates such as A(2, 3) and B(7, 9) to find the distance between them. Each problem gives you practice identifying coordinates, substituting them correctly into the formula, and simplifying your answer step by step.

As you work, you’ll also visualize the points on a coordinate grid, helping you see the geometric meaning behind the math. You’ll recognize how horizontal and vertical changes form a right triangle — and how the distance formula measures its hypotenuse. This connection helps you understand why the formula works, not just how to use it.