1) For reflection across the line y = -x, swap the x and y coordinates of each vertex and change both signs. Example: (a, b) becomes (-b, -a).
2) For reflection across the line y = x, swap the x and y coordinates of each vertex. Example: (a, b) becomes (b, a).
3) For reflection across the line x = 1, calculate the horizontal distance from each vertex to the line x = 1, then place the reflected point the same distance on the opposite side. If a vertex is at (a, b), its reflection is at (2 - a, b).
4) For reflection across the y-axis, negate the x-coordinate of each vertex. Example: (a, b) becomes (-a, b).
5) For reflection across the line y = 2, calculate the vertical distance from each vertex to the line y = 2, then place the reflected point the same distance on the opposite side. If a vertex is at (a, b), its reflection is at (a, 4 - b).
6) For reflection across the x-axis, negate the y-coordinate of each vertex. Example: (a, b) becomes (a, -b).
Parent Tip: Review the logic above to help your child master the concept of reflections worksheet 8th grade.
