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Which statements are true about the coordinate plane? Choose all that apply.

A. KLM is reflected across the y-axis to get ARTS.

B. The x-coordinates of points K and R are the same.

C. The y-coordinates of points K and R have opposite signs.

D. The y-coordinates of points K and R are equal.

Answer :

Final answer:

The true statements about the coordinate plane from given options, considering a reflection across the y-axis are: the x-coordinates of points K and R are the same, and the y-coordinates of points K and R have opposite signs.

Explanation:

The question you asked relates to a KLM being reflected onto another plane labelled as ARTS across the y-axis. In this case, several characteristics about the new points in the coordinate plane can be determined. Here are your statements evaluated:

A. Given that KLM is reflected across the y-axis to get ARTS, this suggests some form of mirror symmetry across said axis. This would make the new formations (namely ARTS) the mirrored versions of the original.

B. The x-coordinates of points K and R are the same. In the context of a reflection across the y-axis, this would indeed be true because the x-coordinate is the horizontal position which remains the same in a y-axis reflection.

C. The y-coordinates of points K and R have opposite signs. Again, since it's a reflection across the y-axis, the y-coordinates would indeed have opposite signs.

D. Without further information, we cannot say anything about the y-coordinates of unidentified points.

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