Test Your Knowledge: Reflecting Points Across the x-axis Quiz

📚 Quick Study Guide

• 🔢 When reflecting a point across the x-axis, the x-coordinate stays the same.
• 📍 The y-coordinate changes its sign (positive becomes negative, and negative becomes positive).
• 📝 The reflection of a point $(x, y)$ across the x-axis is $(x, -y)$.
• ➕ For example, if you reflect the point $(3, 2)$ across the x-axis, the new point is $(3, -2)$.
• ➖ Similarly, reflecting the point $(-1, -4)$ across the x-axis gives you $(-1, 4)$.
• 📐 This transformation is a type of isometry, meaning it preserves distances and shapes.
• 💡 Remember, visualizing this on a coordinate plane can make it even easier!

🧪 Practice Quiz

1. What are the coordinates of the point (5, -3) after being reflected across the x-axis?
   1. (5, 3)
   2. (-5, -3)
   3. (-5, 3)
   4. (3, -5)
2. If the point (-2, 4) is reflected across the x-axis, what are the new coordinates?
   1. (2, 4)
   2. (-2, -4)
   3. (2, -4)
   4. (-4, -2)
3. The point (0, 7) is reflected across the x-axis. What are its new coordinates?
   1. (7, 0)
   2. (0, -7)
   3. (0, 7)
   4. (-7, 0)
4. What is the reflection of the point (-6, -1) across the x-axis?
   1. (6, -1)
   2. (-6, 1)
   3. (6, 1)
   4. (-1, -6)
5. A point is located at (8, 0). After reflecting it across the x-axis, where is it located?
   1. (-8, 0)
   2. (0, 8)
   3. (8, 0)
   4. (0, -8)
6. The point (1, -1) is reflected across the x-axis. What are the coordinates of the image?
   1. (-1, -1)
   2. (1, 1)
   3. (-1, 1)
   4. (-1, 0)
7. Reflect the point (-3, 5) across the x-axis. What are its new coordinates?
   1. (3, 5)
   2. (-3, -5)
   3. (3, -5)
   4. (-5, -3)