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Answer:
180 deg rotation
Step-by-step explanation:
You can't simply translate the original figure into its image. You'd need a reflection or a rotation. For example, if you reflected triangle HTY over the x-axis, and then reflected it over the y-axis, you'd get triangle H'T'Y. The problem does not allow for reflections, so this cannot be used. That means you must use a rotation.
Use the origin as the center of rotation.
Rotate triangle HTY 180 degrees clockwise or counterclockwise.
You end up with the image.
Answer: 180 deg rotation