The problem asks for the coordinates of vertex $V$ after the rectangle is reflected in the dashed line. The dashed line is at $y=4$. Vertex $V$ has coordinates $(6,2)$.

GeometryReflectionCoordinate GeometryTransformations
2025/6/14

1. Problem Description

The problem asks for the coordinates of vertex VV after the rectangle is reflected in the dashed line. The dashed line is at y=4y=4. Vertex VV has coordinates (6,2)(6,2).

2. Solution Steps

The reflection is across the line y=4y=4. The xx-coordinate of VV will not change during the reflection. The yy-coordinate of VV is

2. The distance from $V$ to the line of reflection is $4-2 = 2$. The reflected point will be at a distance of 2 above the line $y=4$. So the $y$-coordinate of the reflected point will be $4+2=6$. Therefore, the coordinates of the reflected point will be $(6,6)$.

3. Final Answer

(6, 6)

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