28.8 - Geometrical Interpretation of Linear Transformations
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Practice Questions
Test your understanding with targeted questions
Define a linear transformation. Provide an example.
💡 Hint: Think of transformations used in CAD programs.
What does scaling do to a vector?
💡 Hint: Consider enlarging or reducing the size of objects.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an example of a linear transformation?
💡 Hint: Remember types of transformations we discussed.
True or False: Scaling can change a vector’s direction.
💡 Hint: Think about what happens during resizing.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
You have a square with vertices at (1,1), (1,-1), (-1,-1), and (-1,1). If you apply a scaling transformation with a factor of 2, what are the new vertices?
💡 Hint: Multiply each vertex coordinate by the scaling factor.
Describe how reflection over the x-axis changes a triangle with vertices at (0,3), (2,1), and (1,2). What are the new coordinates?
💡 Hint: Focus on how the y-values change during reflection.
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