Geometry Test Questions on the Distance Formula

📚 Quick Study Guide

• 🗺️ The distance formula calculates the distance between two points in a coordinate plane.
• 📐 Given two points $(x_1, y_1)$ and $(x_2, y_2)$, the distance $d$ between them 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.
• 💡 Take the square root of the *sum* to find the final distance.
• ✏️ The distance is always a non-negative value.
• 🧭 Make sure you label your $x_1, y_1, x_2,$ and $y_2$ correctly to avoid errors.

📝 Practice Quiz

1. What is the distance between the points (1, 2) and (4, 6)?
   1. 5
   2. 7
   3. 25
   4. 6
2. Find the distance between (-2, 3) and (1, -1).
   1. 4
   2. 5
   3. 25
   4. \(\sqrt{5}\)
3. What is the distance between the origin (0, 0) and the point (5, 12)?
   1. 7
   2. 13
   3. 17
   4. 169
4. Calculate the distance between (7, -4) and (7, 2).
   1. 0
   2. 6
   3. 36
   4. 12
5. What is the distance between (-3, -5) and (0, -1)?
   1. 3
   2. 4
   3. 5
   4. \(\sqrt{7}\)
6. Determine the distance between (2, 8) and (5, 4).
   1. 3
   2. 4
   3. 5
   4. 25
7. Find the distance between (-1, -1) and (2, 3).
   1. 3
   2. 4
   3. 5
   4. 25