Question

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identify the type of rigid motion shown as a reflection, translation, or rotation.
select choice
reflection or rotation
translation or reflection
rotation or translation

Explanation:

Step1: Recall the definitions

• Translation: A translation is a transformation that slides every point of a figure or space by the same distance in a given direction.
• Reflection: A reflection is a transformation representing a flip of a figure.
• Rotation: A rotation is a transformation where a figure is turned around a fixed point.

Step2: Analyze the figure

Looking at the two - dimensional figure in the coordinate plane, we can observe that if we consider a horizontal line (the \(x\) - axis in this case), one figure is a mirror - image of the other. There is no sliding (translation) where all points move in the same direction for the same distance, and there is no turning around a fixed point (rotation).

Answer:

reflection