1) Reflection: Across Line y = -x
- The original figure is a rectangle with vertices at (-3, -1), (-3, -3), (-1, -3), and (-1, -1).
- Reflecting across y = -x swaps the x and y coordinates and changes their signs.
- New vertices: (1, 3), (3, 3), (3, 1), (1, 1).
2) Reflection: Across Line y = x
- The original figure is a triangle with vertices at (-3, 2), (-1, 1), and (-2, 0).
- Reflecting across y = x swaps the x and y coordinates.
- New vertices: (2, -3), (1, -1), (0, -2).
3) Reflection: Across the line x = 1
- The original figure is a rectangle with vertices at (2, 3), (2, 1), (4, 1), and (4, 3).
- The line x = 1 is vertical. For each point, the distance to the line x = 1 is preserved on the opposite side.
- New vertices: (0, 3), (0, 1), (-2, 1), (-2, 3).
4) Reflection: Across the y-axis
- The original figure is a triangle with vertices at (1, 3), (3, 1), and (1, 1).
- Reflecting across the y-axis changes the sign of the x-coordinate.
- New vertices: (-1, 3), (-3, 1), (-1, 1).
5) Reflection: Across the line y = 2
- The original figure is a parallelogram with vertices at (1, 3), (3, 3), (4, 4), and (2, 4).
- The line y = 2 is horizontal. For each point, the distance to the line y = 2 is preserved on the opposite side.
- New vertices: (1, 1), (3, 1), (4, 0), (2, 0).
6) Reflection: Across the x-axis
- The original figure is a step-like shape with vertices at (2, -1), (2, -2), (3, -2), (3, -3), (4, -3), (4, -4), (3, -4), (3, -5), (2, -5), (2, -4), (1, -4), (1, -3), (2, -3), (2, -2).
- Reflecting across the x-axis changes the sign of the y-coordinate.
- New vertices: (2, 1), (2, 2), (3, 2), (3, 3), (4, 3), (4, 4), (3, 4), (3, 5), (2, 5), (2, 4), (1, 4), (1, 3), (2, 3), (2, 2).
Parent Tip: Review the logic above to help your child master the concept of reflections math worksheet.
