Question

Triangle FIT has been reflected over the y-axis. What best describes the relationship between the y-axis and the line connecting F to F'?

a) They share the same midpoints.
b) They are diameters of concentric circles.
c) They are perpendicular to each other.
d) They are parallel and congruent.

Answer 1

The line that connects a point to its image after a reflection over the y-axis, such as F to F', is perpendicular to the y-axis, as it crosses it at a 90° angle.

Step-by-step explanation:

When a figure is reflected over the y-axis, each point of the figure is flipped across the y-axis to a point that is equidistant from the y-axis but on the opposite side. In the case of triangle FIT being reflected over the y-axis to create triangle F'I'T', each corresponding point (F, I, T to F', I', T') would be the same distance from the y-axis, but on opposite sides.

The line connecting a point to its image after a reflection over the y-axis, such as F to F', will be perpendicular to the y-axis. This is because the y-axis serves as the 'mirror line', and the line connecting F to F' would cross it at a 90° angle. None of the other options provided (sharing the same midpoints, being diameters of concentric circles, or being parallel and congruent) describe the correct relationship between this line and the y-axis. Therefore, the answer is (c) They are perpendicular to each other.