Distance Formula Practice Worksheet

Distance Formula Practice

Carefully read each question and use the distance formula to find the distance between the given points. Show all your work.

1. Find the distance between the points (3, 2) and (7, 5).

2. Calculate the distance between the points (-1, 4) and (5, -2).

3. The distance formula is given by d = √((x₂ - x₁)² + (y₂ - y₁)²) where (x₁, y₁) and (x₂, y₂) are the   of two points.

4. When calculating the distance, the order of subtracting the x-coordinates and y-coordinates   because the difference is squared.

5. The distance between two points is always a non-negative value.

6. The distance formula is derived from the Pythagorean theorem.

7. Which of the following is the correct distance formula?

8. What is the distance between the origin (0,0) and the point (6,8)?

9. A triangle has vertices at A(1,1), B(4,1), and C(1,5). Calculate the perimeter of the triangle. Show all your steps.