Question

On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4). Triangle A prime B prime C prime has points (1, negative 1), (2, negative 1), and (2, negative 4). What is the equation of the line of reflection that maps the pre-image to the image? y = x y-axis x-axis x = 1

Answer 1

Answer: y-axis

Step-by-step explanation:

The equation of the line of reflection is the perpendicular bisector of the segment that connects a point on the preimage and the corresponding point on the image.

For this, we'll consider A(-1, -1) and A'(1, -1).

The equation of this line is clearly y = -1, and its midpoint is (0, -1).

This means the line of reflection will be a vertical line passing through (0, -1), which is the line x = 0, or the y-axis