Reflection on a Coordinate Plane

Reflection on a Coordinate Plane

Read each question carefully and follow the instructions to reflect points and shapes on the coordinate plane.

1. Reflect the point (3, -2) across the x-axis. What are the coordinates of the reflected point?

2. Reflect the point (-5, 4) across the y-axis. What are the coordinates of the reflected point?

3. Reflect the point (1, 6) across the origin. What are the coordinates of the reflected point?

4. When reflecting a point (x, y) across the x-axis, the new coordinates are (x,  ).

5. When reflecting a point (x, y) across the y-axis, the new coordinates are ( , y).

6. When reflecting a point (x, y) across the origin, the new coordinates are ( ,  ).

7. Plot the point A(2, 3) on the coordinate plane below. Then, reflect point A across the x-axis to find A'. Plot A' and write its coordinates.

8. Plot the triangle with vertices B(-4, 1), C(-1, 1), and D(-1, 4) on the coordinate plane below. Reflect the triangle across the y-axis to find B'C'D'. Plot the reflected triangle and write the coordinates of its vertices.

9. A square has vertices at (1,1), (3,1), (3,3), and (1,3). If the square is reflected across the y-axis, which of the following is NOT a vertex of the reflected square?

10. If a point is reflected across the x-axis and then across the y-axis, it is equivalent to reflecting the original point across which point?