A triangle is rotated 90 degrees about the origin, which rule describes the transformation.
Mathematics · College · Thu Feb 04 2021
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When a triangle is rotated 90 degrees counterclockwise about the origin on the coordinate plane, each point (x, y) on the triangle is transformed to a new point (-y, x).
Here are the detailed logical steps to understand the 90-degree rotation rule about the origin:
1. Identify the coordinates of each vertex of the triangle.
2. Apply the 90-degree rotation rule to each vertex of the triangle.
3. The new position of each point after the rotation is found by swapping the x and y coordinates and then changing the sign of the new y-coordinate (which was the original x-coordinate).
For instance, if a point A has coordinates (x, y), after a 90-degree counterclockwise rotation about the origin, point A will move to a new position A' with coordinates (-y, x).