Graphing - High School Math

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Question

The vertices of a triangle are given by . The triangle is rotated about the origin by degrees clockwise. What are the new coordinates?

Answer

The coordinates form a triangle in the second quadrant with a side along the y-axis. The rotation about the origin by degrees clockwise results in a triangle in the first quadrant with a side along the x-axis. There are two responses that give triangles along the x-axis:

and

A rotation and a dialation by a factor of is given by

, so the correct answer is

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