Reflection on a Coordinate Plane
This worksheet focuses on understanding and performing reflections of geometric figures on a coordinate plane, including reflections across the x-axis, y-axis, and the line y=x.
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Reflection on a Coordinate Plane
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Read each question carefully and follow the instructions to perform reflections on the coordinate plane. Show all your work for full credit.
1. Reflect the triangle with vertices A(1, 2), B(4, 5), and C(3, 1) across the x-axis. State the coordinates of the reflected vertices A', B', and C'.
A' = ( , )
B' = ( , )
C' = ( , )
2. Reflect the quadrilateral with vertices D(-2, 3), E(1, 4), F(3, 1), and G(0, -2) across the y-axis. State the coordinates of the reflected vertices D', E', F', and G'.
D' = ( , )
E' = ( , )
F' = ( , )
G' = ( , )
3. When a point (x, y) is reflected across the line y = x, its new coordinates are ( , ).
If point H (5, -3) is reflected across the line y = x, then H' is ( , ).
4. Which of the following transformations maps the point (2, -5) to (-2, -5)?
Reflection across the x-axis
Reflection across the y-axis
Reflection across the line y=x
Rotation of 180 degrees
5. A point P is at (3, 6). First, reflect P across the x-axis to get P'. Then, reflect P' across the y-axis to get P''. What are the coordinates of P''?
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