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Geometry: Rigid Transformations
Combining Reflection and Rotation
Description
Combining Reflection and Rotation
Introduction
A figure can undergo more than one transformation. When a reflection is followed by a rotation, each transformation must be completed in the given order. Coordinate rules help us find the image points after each step.
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Transcript
Ethan gets a homework problem: Reflect triangle PQR over the y-axis, then rotate it 90 degrees clockwise about the origin in the coordinate plane.
The vertices of the triangle are (2, 1), (4, 1), and (4, 3).
First, he reflects the figure over the y-axis using the rule (x,y)→(−x,y). He changes the sign of each x-coordinate and keeps ...
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