Circle $${A}^{\prime}$$ is the result of rotating circle $${A}$$ by $$180^{\circ}$$ about point $${P}$$. ![](http://admin.getprephub.com/media/editor/tp6_20230125193430437888.png) Select the correct statement about the unchanged properties of circle $${A}$$ and circle $${A}^{\prime}$$.

Rotations preserve (keep the same) angle measures and segment lengths. Rotations change the coordinates of every point in the figure except on the center of rotation. Since a radius is a kind of segment, its length remains the same under the transformation. Because the radius remains the same, so does the circumference. After the rotation, point $${A}^{\prime}$$ would be in quadrant IV, not on the $${X}$$-axis. ![](http://admin.getprephub.com/media/editor/tp6s_20230125193442919811.png)

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MCQ

Circle ${A}^{\prime}$ is the result of rotating circle ${A}$ by $180^{\circ}$ about point ${P}$ .

Select the correct statement about the unchanged properties of circle ${A}$ and circle ${A}^{\prime}$ .

Select all that apply :

Circle $A$ and circle $A^{\prime}$ have the same circumference.

The radii of circle $A$ and circle $A^{\prime}$ have the different lengths.

Points $A$ and $A^{\prime}$ are both on the $x x x$ -axis.

None of the above

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