Which of the following angles in standard position corresponds to a point on the negative $y$-axis?

• A. $360°$
• B. $300°$
• C. $180°$
• D. $270°$

Answer: (D)

Verified step by step guidance

1. Recall that an angle in standard position is measured from the positive x-axis, rotating counterclockwise around the origin.
2. Identify the key angles that lie on the coordinate axes: 0° (positive x-axis), 90° (positive y-axis), 180° (negative x-axis), 270° (negative y-axis), and 360° (back to positive x-axis).
3. Understand that the negative y-axis corresponds to the point where the angle measures 270°, because it is three-quarters of a full 360° rotation from the positive x-axis.
4. Check the given options (360°, 300°, 180°) and see which one matches the negative y-axis position; none of these correspond to 270°, which is the angle for the negative y-axis.
5. Conclude that the angle corresponding to a point on the negative y-axis is 270°, as it is the standard angle that points directly downward along the y-axis.