Reflection on a Coordinate Plane
Explore reflections of points and shapes across the x-axis, y-axis, and the line y=x on a coordinate plane.
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Reflection on a Coordinate Plane
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Read each question carefully and follow the instructions to reflect the given points or 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 (2, 6) across the line y=x. What are the coordinates of the reflected point?
1. When reflecting a point (x, y) across the x-axis, the new coordinates are (x, ).
2. When reflecting a point (x, y) across the y-axis, the new coordinates are ( , y).
3. When reflecting a point (x, y) across the line y=x, the new coordinates are ( , ).
1. A triangle has vertices at A(1,1), B(3,1), and C(2,3). If the triangle is reflected across the x-axis, what are the new coordinates of vertex C'?
(2, -3)
(-2, 3)
(-2, -3)
(3, 2)
2. A square has vertices at P(-4,2), Q(-1,2), R(-1,5), and S(-4,5). If the square is reflected across the y-axis, what are the new coordinates of vertex P'?
(-4, -2)
(4, -2)
(4, 2)
(-4, 2)
1. Plot the point A(2, 4) on the coordinate plane below. Then, reflect point A across the x-axis and label the new point A'. State the coordinates of A'.
2. Plot the triangle with vertices D(-3, -1), E(-1, -1), and F(-2, -3) on the coordinate plane below. Then, reflect the triangle across the y-axis and label the new vertices D', E', F'. State the new coordinates.
1. Reflecting a point across the x-axis changes the sign of its x-coordinate.
True
False
2. Reflecting a point across the line y=x swaps the x and y coordinates.
True
False