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 $(6,2)$.
2025/6/14
1. Problem Description
The problem asks for the coordinates of vertex after the rectangle is reflected in the dashed line. The dashed line is at . Vertex has coordinates .
2. Solution Steps
The reflection is across the line . The -coordinate of will not change during the reflection. The -coordinate of 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)