Distance Formula Examples with Detailed Solutions for 8th Grade

📚 Quick Study Guide

• 🗺️ The distance formula is used to find the distance between two points in a coordinate plane.
• 📐 The formula is derived from the Pythagorean theorem.
• 🔢 The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
• ✍️ Remember to square the differences in the x and y coordinates before adding them.
• 💡 Simplify the expression under the square root before taking the square root.

🧪 Practice Quiz

1. What is the distance between the points (1, 2) and (4, 6)?
   1. 5
   2. 6
   3. 7
   4. 8
2. Find the distance between the points (-2, 3) and (1, -1).
   1. 3
   2. 4
   3. 5
   4. 6
3. What is the distance between the points (0, 0) and (5, 12)?
   1. 11
   2. 12
   3. 13
   4. 17
4. Calculate the distance between the points (-3, -4) and (0, 0).
   1. 3
   2. 4
   3. 5
   4. 7
5. What is the distance between the points (2, -1) and (2, 3)?
   1. 2
   2. 3
   3. 4
   4. 5
6. Find the distance between the points (-1, -1) and (2, 3).
   1. 3
   2. 4
   3. 5
   4. 6
7. What is the distance between the points (1, 5) and (4, 1)?
   1. 3
   2. 4
   3. 5
   4. 6