Question

The point A(-8, -2) is reflected over the origin and its image is point B. What are the coordinates of point B?

A) (8, 2)
B) (-8, -2)
C) (2, 8)
D) (-2, -8)

Answer 1

The point A(-8, -2) when reflected over the origin will have its coordinates sign changed, resulting in point B(8, 2).

Step-by-step explanation:

When a point is reflected over the origin in the Cartesian coordinate system, both the x and y coordinates change their signs. So, if point A has coordinates (-8, -2), after the reflection over the origin, the coordinates of point B will be (8, 2). Therefore, the correct answer to the question 'The point A(-8, -2) is reflected over the origin and its image is point B. What are the coordinates of point B?' is option A) (8, 2).