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Geometry: Rigid Transformations
Combining Rotations
Description
Combining Rotations
Introduction
A figure can be rotated more than once. When rotations are performed in sequence, each rotation is applied to the image created by the previous one. Coordinate rules help us track the position of every vertex after each turn. Combining...
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Transcript
Noah is solving a homework problem: Rotate triangle PQR 90 degrees clockwise about the origin, and then rotate the image 180 degrees counterclockwise about the origin.
Triangle PQR has vertices at (2, 1), (4, 1), and (4, 3).
First, Noah rotates the triangle 90 degrees about the origin. Following the rule (x,y) →(y, -x), he swaps the ...
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