Question

Which point would map onto itself after a reflection across the line y = -x? Options:

a. (4, -4)
b. (0, 44)
c. (0, 4)
d. (4, 4)

Answer 1

The point (0, 4) would map onto itself after a reflection across the line y = -x.

Step-by-step explanation:

To determine which point would map onto itself after a reflection across the line y = -x, we need to find the points that are symmetric about the line. The line y = -x has a slope of -1 and goes through the origin.

Looking at the given options:

1. (4, -4): This point does not lie on the line y = -x, so it will not map onto itself.
2. (0, 44): This point does not lie on the line y = -x, so it will not map onto itself.
3. (0, 4): This point lies on the line y = -x, so it will map onto itself after the reflection.
4. (4, 4): This point does not lie on the line y = -x, so it will not map onto itself.

Therefore, the point (0, 4) would map onto itself after a reflection across the line y = -x.