Triangle is reflected over a horizontal line of reflection to create triangle . What are the coordinates of vertex ?

A.( -3, - 9)
B. (-3 , -7 )
C. (-2 , -2 )
D. ( 3, - 9

1 answer

To determine the coordinates of a vertex of triangle after it has been reflected over a horizontal line, we need to know both the original coordinates of the vertex and the equation of the line of reflection. However, none of this information is provided in your question.

When a point \( (x, y) \) is reflected over a horizontal line \( y = k \), the new coordinates \( (x, y') \) will be given by: \[ y' = 2k - y \] This means that the \( x \)-coordinate remains the same, while the \( y \)-coordinate is adjusted based on the distance from the line of reflection.

Please provide the original coordinates of the vertex and the equation of the horizontal line of reflection to get the correct reflected coordinates that could match one of the options given.