Question

*100 points* Which set of ordered pairs has point symmetry with respect to the origin (0, 0)?

Answer 1

Point symmetry with origin means the points on both sides are symmetric to both sides of origin

The requirements for this are

• x coordinates are additive inverses
• y coordinates are equal

Option C is correct

As (9,2) and (-9,2) matches the requirements

Answer 2

• A) (9, 2), (- 9, - 2)

Explanation:

Points of symmetry with respect to origin mean:

• the points are at the same distance from the origin but located in the opposite direction.

The line connecting these points passes through the origin.

Such points have both coordinates opposite to each other.

The pair of points have coordinates of:

• (x, y) and (- x, - y)

Correct choice therefore is A