Is the angle in standard position?
Is the angle in standard
An angle is said to be in standard
position if its vertex is located at the origin and one ray, which we call the
initial side, lies on the positive 𝑥-axis. Now, our angle is bound by the rays
highlighted in yellow. We do indeed see that one of the
sides lies on the positive 𝑥-axis and the vertex does appear to be at the
origin. We also know that it is indeed the
initial side of our angle that lies on the positive 𝑥-axis rather than the terminal
side. And this is because we’re given an
arrow that tells us the direction.
If the arrow was moving in the
opposite direction, we couldn’t actually say that the angle is in standard position
because the initial side would not lie on the positive 𝑥-axis. And so, we see that the angle given
satisfies all of our criteria to be in standard position. And the answer is yes.