What happens to a point located at (3, 5) under a reflection over the line x = 2?

Sharpen your skills with the Transformations Proficiency Exam. Dive into comprehensive questions, utilize tailored explanations, and gear up for success!

When reflecting a point across a vertical line, such as the line x = 2, the y-coordinate remains the same while the x-coordinate changes in relation to the line of reflection.

For the point (3, 5), we start by determining its distance from the line of reflection, x = 2. The original x-coordinate, 3, is 1 unit to the right of the line x = 2. To find the new x-coordinate after reflection, we need to move the same distance to the left of the line x = 2.

Therefore, if we move 1 unit to the left from x = 2, we land at x = 1. The y-coordinate, which is 5, remains unchanged. Thus, the new coordinates after the reflection will be (1, 5).

This reasoning confirms that the choice stating the new coordinates will be (1, 5) is correct. The other coordinates do not reflect the correct calculation based on the logic of reflecting across a vertical line.

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