A certain mapping in the xy-plane has the following properties:
• For the point A, the image A' is at the same point as A.
• A point P that is not at A maps counterclockwise to point P' such that mZPAP = 0.
• The lengths of AP and AP are equal.

Since [tex]$\overline{A P}=A P^{\prime}, m \angle P A P^{\prime}=\theta$[/tex] then the transformation changes direction but not size. so it stands for rotation transformation.

What is a rotation transformation?

A rotation exists as a kind of transformation that exists in a turn. A figure can be rotated clockwise or counterclockwise on the coordinate plane. In both transformations, the size and shape of the figure remain exactly identical. A rotation exists as a transformation that shifts the figure in either a clockwise or counterclockwise direction.

Since [tex]$\overline{A P}=A P^{\prime}, m \angle P A P^{\prime}=\theta$[/tex] then the transformation changes direction but not size. so it stands for rotation transformation.

Therefore, the correct answer is option C. A rotation

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A certain mapping in the xy-plane has the following properties: • For the point A, the image A' is at the same point as A. • A point P that is not at A maps counterclockwise to point P' such that mZPAP = 0. • The lengths of AP and AP are equal.

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What is a rotation transformation?

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A certain mapping in the xy-plane has the following properties:
• For the point A, the image A' is at the same point as A.
• A point P that is not at A maps counterclockwise to point P' such that mZPAP = 0.
• The lengths of AP and AP are equal.