Angles in Standard Position — Quiz

Question 7 • Mathematics III

Which angle is in standard position?

Answer

Image with description A coordinate grid with x- and y-axes shows two rays starting at the origin (0 comma 0). One ray extends horizontally to the right along the positive x-axis, and the other extends upward into the first quadrant, passing through (4 comma 3).

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (4 comma 2). One ray starts at (0 comma 0) and passes through (negative 3 comma negative 3).

Image with description A Cartesian coordinate plane with a grid shows two rays starting at the origin (0 comma 0). One ray extends upward and to the left into the second quadrant, passing through (negative 4 comma 4). The other ray extends downward and to the right into the fourth quadrant, ending near (4 comma negative 1).

Image with description A four-quadrant coordinate plane with an angle. One ray starts at (0 comma 0) and passes through (2 comma 4). One ray starts at (0 comma 0) and passes through (negative 4 comma 4).

Explanation

An angle is in standard position when its vertex is at the origin and its initial side lies along the positive x-axis. In choice A, one ray starts at the origin and extends right along the positive x-axis, while the other ray starts there as well. The other choices do not show a ray on the positive x-axis.

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