Question

which of the statements best describe the origin on the coordinate system?
i. the x- and y-axes intersect at the origin.
ii. the origin is the distance from right to left.
iii. the point, (0, 0), is the ordered pair at the origin.
iv. the origin is the distance from top to bottom.
a. ii and iv
b. i and iii
c. i only
d. iv only

Explanation:

• Statement I: The x-axis and y-axis cross at the origin, which is a core property of the coordinate system.
• Statement II: The origin is a point, not a horizontal distance, so this is incorrect.
• Statement III: By definition, the origin is represented by the ordered pair $(0, 0)$.
• Statement IV: The origin is a point, not a vertical distance, so this is incorrect.

Only statements I and III are correct.

Answer:

B. I and III