2 - 2D Transformations
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Practice Questions
Test your understanding with targeted questions
What is the result of translating point (1, 3) by (2, 2)?
💡 Hint: Add the translation values to the original coordinates.
If you scale a square of size 2 units by a factor of 3, what will be its new size?
💡 Hint: Multiply the original size by the scaling factor.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the transformation matrix for translation?
💡 Hint: Look for how translations are represented in matrix form.
True or False: Reflection across the x-axis changes the sign of the y-coordinate.
💡 Hint: Consider how a mirror reflection works.
1 more question available
Challenge Problems
Push your limits with advanced challenges
If a hexagon has vertices at (1, 1), (2, 2), (3, 1), (2, 0), (1, -1), and (0, 0), what will the vertices be after performing a series of transformations: translate by (1, 2), scale by a factor of 2, and then reflect over the x-axis?
💡 Hint: Break down the transformations one at a time and apply each step carefully.
A square with corners at (1, 1), (3, 1), (3, 3), and (1, 3) is rotated 180 degrees around the origin. What will the new coordinates be?
💡 Hint: Apply the rotation matrix and remember how each point is affected.
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