In the rectangular coordinate system above, the line y = x…

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Last Updated on May 4, 2023

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Solution:

This problem does contain a diagram that looks like the following:

In the rectangular coordinate system above, the line y = x...

We are given that the line y = x is a perpendicular bisector of line segment AB. This indicates that point B is a reflection of point A across the line y = x. When we reflect a point (a,b) across the line y = x, the reflected point has the coordinates reversed: (b,a). Thus, since point A is at (2,3), point B must be (3,2).

We are next given that the x-axis is a perpendicular bisector of line segment BC. This means that point C must have the same x-coordinate as point B (3) but the opposite y-coordinate of point B (-2). To further elaborate, we can draw a diagram.

Answer: D

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