To reflect a point, you need to know the line of reflection. The reflection of a point involves finding the point that is exactly the same distance from the line of reflection on the opposite side. Let's say point T has coordinates \( (x_T, y_T) \), and we will reflect it across a line.
Example 1: Reflecting across the x-axis
If we reflect point T across the x-axis, the reflection point T' would have coordinates \( (x_T, -y_T) \).
Example 2: Reflecting across the y-axis
If we reflect point T across the y-axis, the reflection point T' would have coordinates \( (-x_T, y_T) \).
Example 3: Reflecting across the line y = x
If we reflect point T across the line y = x, the reflection point T' would have coordinates \( (y_T, x_T) \).
Example 4: Reflecting across a different line
If we reflect point T across a line defined by the equation \( Ax + By + C = 0 \), we would follow a geometric method involving finding the perpendicular distance to the line and calculating the coordinates of the reflected point.
Please provide additional details about the position of point T and the line of reflection if you want a specific reflection calculation!
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