Question

A rhombus is centered on the origin. One side of the rhombus goes through the points (a, 0) and (0, b). What are possible coordinates for one of the other sides?

Answer 1

When a rhombus is centered on the origin and one side goes through the points (a, 0) and (0, b), the possible coordinates for one of the other sides are (-a, 0) and (0, -b).

Step-by-step explanation:

A rhombus is a four-sided polygon with opposite sides that are parallel and equal in length. When a rhombus is centered on the origin and one side goes through the points (a, 0) and (0, b), the other side will have coordinates that are the negative of the first side. This means the possible coordinates for one of the other sides are (-a, 0) and (0, -b).