2.1 - Translation
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Practice Questions
Test your understanding with targeted questions
What is the representation of a point in 2D?
💡 Hint: Think about coordinates.
Define translation in geometric transformations.
💡 Hint: Consider how you would describe moving on a flat plane.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a translation transformation do?
💡 Hint: Think about how you would move something on a graph.
True or False: Rotation always occurs around the origin.
💡 Hint: Consider how angles are measured.
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Challenge Problems
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If a rectangular object is originally defined by the vertices at (1, 1), (1, 2), (2, 1), and (2, 2), apply the following transformations in sequence: first translate it by (3, 4), then scale it by a factor of 2, followed by a reflection over the x-axis. What are the coordinates of the new vertices?
💡 Hint: Break it down step by step, focusing on one transformation at a time.
Create a composite transformation matrix for a translation by (2, 3) followed by a rotation of 90 degrees counterclockwise. Represent this as a 3x3 matrix.
💡 Hint: Start by creating each transformation matrix separately before combining them.
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