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3 cards from this section. Quick, good the night before a test.
What is the representation of a point in 2D?
Think about coordinates.
Define translation in geometric transformations.
Consider how you would describe moving on a flat plane.
What does a translation transformation do?
Think about how you would move something on a graph.
True or False: Rotation always occurs around the origin.
Consider how angles are measured.
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?
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.
Start by creating each transformation matrix separately before combining them.
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