Grade 11 Math: Reflections Worksheet
Explore reflections in the coordinate plane, including reflections across axes, lines, and points, with this comprehensive worksheet for Grade 11 math students.
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Grade 11 Math: Reflections
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Read each question carefully and follow the instructions to determine the reflections of the given figures.
1. What are the coordinates of the image of point A(3, -5) after a reflection across the x-axis?
A'(3, 5)
A'(-3, -5)
A'(-3, 5)
A'(5, -3)
2. A point P(x, y) is reflected across the line y = x. What are the coordinates of P'?
P'(x, -y)
P'(-x, y)
P'(y, x)
P'(-y, -x)
3. A reflection is a transformation that uses a line like a mirror to reflect a figure. This line is called the .
4. Reflecting a point (x, y) across the y-axis results in the image .
5. Given triangle ABC with vertices A(1, 2), B(4, 1), and C(2, 5). Find the coordinates of the vertices of the image triangle A'B'C' after a reflection across the line y = -1.
6. Plot the triangle with vertices D(-5, 2), E(-2, 6), F(-1, 2) on the coordinate plane. Then, reflect the triangle across the x-axis and plot its image D'E'F'.
7. A reflection is an isometry, meaning it preserves distance and angle measures.
True
False