Question

which of the statements about the x - axis are true?
i. the x - axis intersects the y - axis at the origin.
ii. the x - axis is a vertical number line that passes through the origin.
iii. the x - axis is the second coordinate in an ordered pair that describes the horizontal distance from the origin.
iv. the x - axis is a horizontal number line that passes through the origin.
a. i and ii
b. iii only
c. iv only
d. i and iv

Explanation:

• Statement I: The x-axis and y-axis intersect at (0,0), the origin, so this is true.
• Statement II: The x-axis is horizontal, not vertical, so this is false.
• Statement III: The x-coordinate (first value in an ordered pair) describes horizontal distance from the origin, not the second, so this is false.
• Statement IV: The x-axis is a horizontal number line passing through the origin, so this is true.

True statements are I and IV.

Answer:

D. I and IV