Question

The point A(1, -8) is reflected over the origin to form point B. What are the coordinates of point B?

a) (-1, 8)
b) (1, 8)
c) (-1, -8)
d) (8, -1)

Answer 1

For a point reflected over the origin, both coordinates change signs. The point A(1, -8) becomes point B(-1, 8), which is answer option a.

Step-by-step explanation:

When a point is reflected over the origin, both the x-coordinate and the y-coordinate change signs. Given the point A(1, -8), after reflection over the origin, the new coordinates for point B will become (-1, 8), meaning its x-coordinate is now negative one instead of positive one, and its y-coordinate is positive eight instead of negative eight. Therefore, the correct coordinates for point B after the reflection over the origin are point a) (-1, 8).