Aparallelogram with vertices at (0,,,2), and (2,5) is reflected over the y-axis. which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

The vertex of the parallelogram will have the same x-coordinate before and after the reflection is:

                           (0,3)

We know that when a point us reflected over the y-axis then the x-coordinate of the point converts to opposite sign whereas the y-coordinate remains the same.

i.e.  (x,y) →  (-x,y)

Here the vertices of the parallelogram are:

           (0,3) , (2,0) , (4,2) , and (2,5) .

Hence, after reflection the points are transformed as follows:

        (0,3) → (0,3)

        (2,0) → (-2,0)

        (4,2) → (-4,2)

        (2,5) → (-2,5)

Hence, the point which remains the same is: (0,3).

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