Reflections on the Coordinate Plane
Explore reflections of geometric figures across the x-axis, y-axis, and other lines on a coordinate plane.
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Reflections on the Coordinate Plane
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Read each question carefully and follow the instructions to reflect the given figures on the coordinate plane. Label all points clearly.
1. Reflect the triangle with vertices A(1, 2), B(4, 1), and C(2, 5) across the x-axis. Plot the original triangle and its image A'B'C'.
Write the coordinates of the reflected vertices:
A' =
B' =
C' =
2. Reflect the quadrilateral with vertices D(-3, 1), E(-1, 4), F(2, 3), and G(0, 0) across the y-axis. Plot the original quadrilateral and its image D'E'F'G'.
Write the coordinates of the reflected vertices:
D' =
E' =
F' =
G' =
3. When a point (x, y) is reflected across the x-axis, its image is ( ).
4. When a point (x, y) is reflected across the y-axis, its image is ( ).
5. Reflect the point P(2, -3) across the line y = x. Plot the original point and its image P'.
Write the coordinates of P':
P' =
6. A point is at (5, 0). If it is reflected across the x-axis, what are the coordinates of its image?
(5, 0)
(-5, 0)
(0, 5)
(0, -5)