Reflection on a Coordinate Plane

Reflection on a Coordinate Plane

Read each question carefully and follow the instructions to reflect the given points or shapes on the coordinate plane. Show all your work.

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

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

3. Reflect the point C(1, 6) across the line y=x. What are the coordinates of C'?

4. Plot the triangle with vertices P(1, 1), Q(4, 1), and R(2, 3). Then, reflect the triangle across the x-axis and plot the image P'Q'R'.

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

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

7. When reflecting a point (x, y) across the line y=x, the new coordinates are ( ).

8. Plot the quadrilateral with vertices A(-4, -1), B(-1, -1), C(-1, -3), and D(-4, -3). Then, reflect the quadrilateral across the y-axis and plot the image A'B'C'D'.