Question

1 2 3 4 5 6 7 8 9 10

Answer 1

Answer:

• a reflection of the line segment across the y-axis

Explanation:

The transformations of the end points are:

       Preimage         Image

• (–4, –6)     →    (4, –6)

• (–6, 4)       →    (–6, 4)

The means that, for every end point, the x-coordinate changes the sign and the y-coordinate remains unchanged.

That rule is:

• (x, y) → (- x, y): this is a reflection across the y-axis.

Keeping the y-coordinate and changing the sign of the x-coordinate is a reflection across the y -axis. It is like a mirror image, where the mirror is placed along the y-axis. The figure keeps the same distance from the y-axis (the mirror) but changes sides, which is represented by the change of x to - x,  while the altitude (the y-coordinate) keeps unchanged.