Question

1 2 3 4 5 6 7 8 9 10

Time Remaining
53:30
A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4)?
a reflection of the line segment across the x-axis
a reflection of the line segment across the y-axis
a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = –x
Mark this and return
Save and Exit Next Submit

Answer 1

its B

Step-by-step explanation:

Answer 2

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

Step-by-step 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.