Let me solve this step by step.
Problem 1: Reflect the point across the y-axis
Looking at the first graph, I need to identify where the blue point is located.
- The blue point appears to be at coordinates (-5, 8) or approximately (-5, 8)
When we reflect a point across the y-axis:
- The x-coordinate changes sign (becomes opposite)
- The y-coordinate stays the same
So if the original point is at (-5, 8), after reflection across the y-axis:
- New x-coordinate = -(-5) = 5
- New y-coordinate = 8 (stays the same)
The reflected point should be at (5, 8).
Looking at the answer choices for Problem 1:
- First option: Shows blue point around (-5, 8) and red point around (5, 8) ✓ This looks correct!
- Second option: Shows points in different positions
- Third option: Shows points in different positions
- Fourth option: Shows points in different positions
Problem 2: Reflect the point across the y-axis
Looking at the second graph, I need to identify where the blue point is located.
- The blue point appears to be at coordinates (-2, 0) or approximately (-2, 0)
When we reflect this point across the y-axis:
- New x-coordinate = -(-2) = 2
- New y-coordinate = 0 (stays the same)
The reflected point should be at (2, 0).
Looking at the answer choices for Problem 2:
- First option: Shows blue point around (-2, 0) and red point around (2, 0) ✓ This looks correct!
- Second option: Shows both points on the same side
- Third option: Shows only one point
- Fourth option: Shows points overlapping or very close
Let me verify my answers by checking the visual representation more carefully.
For Problem 1: The original blue point is in quadrant II (negative x, positive y). After reflection across y-axis, it should be in quadrant I (positive x, positive y) at the same distance from the y-axis. The first answer choice shows this correctly.
For Problem 2: The original blue point is on the negative x-axis. After reflection across y-axis, it should be on the positive x-axis at the same distance from the origin. The first answer choice shows this correctly.
Final Answer:
Problem 1: First option (top-left answer choice)
Problem 2: First option (top-left answer choice)
Parent Tip: Review the logic above to help your child master the concept of reflecting points on a coordinate plane worksheet.
