Question Video: Determining if the Angle is in Standard Position Mathematics

Is the angle in standard position?

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Video Transcript

Is the angle in standard position?

We begin by recalling what it means for an angle to be in standard position. An angle is in standard position on the coordinate plane if its vertex is at the origin and one ray is coincident with the positive 𝑥-axis. This ray is known as the initial side of the angle, and it is where the angle is measured from.

In this question, it is clear that neither of the rays that form the angle lie on the positive 𝑥-axis. This means that the angle drawn does not lie in standard position, and the correct answer is no. One example of an angle drawn in standard position is shown in orange, with the initial and terminal sides labeled.

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