Linear Transformation Exploration
Explore the concepts of linear transformations including rotation, reflection, dilation, and translation with this Grade 10 math worksheet.
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Linear Transformation Exploration
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following is NOT a linear transformation?
Rotation
Reflection
Dilation
Translation
2. A linear transformation maps lines to and the origin to the .
3. Describe the effect of a dilation with a scale factor of 2 centered at the origin on a square with vertices (0,0), (1,0), (1,1), and (0,1).
4. All transformations are linear transformations.
True
False
5. Plot the point A(2,3) on the graph. Then, apply the transformation T(x,y) = (-y, x) to point A to find A'. Plot A' on the same graph.
Match each transformation with its general effect.
6. Rotation
a. Changes size
7. Dilation
b. Flips over a line
8. Reflection
c. Turns around a point
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