This worksheet focuses on reflections of geometric figures across the x-axis and y-axis on a coordinate plane.

Key Reflection Rules:

1. Reflection across the y-axis: $(x, y) \rightarrow (-x, y)$

   • The x-coordinate changes sign, but the y-coordinate stays the same.

2. Reflection across the x-axis: $(x, y) \rightarrow (x, -y)$

   • The y-coordinate changes sign, but the x-coordinate stays the same.

Would you like me to provide step-by-step solutions for each problem? Let me know if you need help graphing them or verifying answers.

Related Questions:

1. How do reflections differ from rotations and translations in transformations?
2. What are the effects of multiple reflections on a shape?
3. How can you determine the line of reflection given an original and reflected figure?
4. What happens when a point is reflected twice over perpendicular axes?
5. Can reflection rules be extended to three-dimensional geometry?

Tip:

Always check the distance of each vertex from the reflection line to ensure accuracy. The reflected point should be equidistant from the line but on the opposite side.