The problem requires reflecting points on the coordinate plane over the Y-axis and then identifying the coordinates of their reflections. Here’s a step-by-step solution based on the provided grid:

Original Points and their Reflections:

1. Point A (5, 4)

   • Reflection across the Y-axis: Change the sign of the x-coordinate.
   • Reflected Point: (-5, 4)

2. Point B (-3, -3)

   • Reflection across the Y-axis: Change the sign of the x-coordinate.
   • Reflected Point: (3, -3)

3. Point C (2, -5)

   • Reflection across the Y-axis: Change the sign of the x-coordinate.
   • Reflected Point: (-2, -5)

4. Point D (-4, 2)

   • Reflection across the Y-axis: Change the sign of the x-coordinate.
   • Reflected Point: (4, 2)

Summary of Reflected Coordinates:

• A: (-5, 4)
• B: (3, -3)
• C: (-2, -5)
• D: (4, 2)

Would you like more details on how reflections across the Y-axis work or have any questions?

5 Related Questions:

1. What is the general rule for reflecting a point across the Y-axis?
2. How would the points be reflected if reflected across the X-axis instead?
3. What are the coordinates of point A if reflected across both the X-axis and Y-axis?
4. How does reflecting a point across the origin differ from reflecting across an axis?
5. Can you explain the geometric significance of reflecting across the Y-axis?

Tip:

When reflecting across the Y-axis, only the x-coordinate changes sign while the y-coordinate remains the same.