Michael plots the point with the polar coordinates (−2,−4π/3).
How does he plot this point?
Enter a value or phrase into each box to correctly complete the statements.
Michael first determines which line the angle of rotation places the point on. This line tells Michael that the point must lie in ____ area if r is positive or _____ area if r is negative.
The radius of 2 tells Michael that the point lies on the second circle of the polar plane. The value of r is negative. Therefore, the point will lie ____ the angle of rotation.
fill in the blank options:
quadrant I, quadrant II, quadrant III, quadrant IV, in the same quadrant as, in the opposite quadrant as
Michael first determines which line the angle of rotation places the point on. This line tells Michael that the point must lie in __quadrant II__ area if r is positive or ___quadrant IV__ area if r is negative.
The radius of 2 tells Michael that the point lies on the second circle of the polar plane. The value of r is negative. Therefore, the point will lie __in the opposite quadrant as__ the angle of rotation.
Explanation: -4pi/3 is the angle, and it is in the 2nd quadrant. That means that r, the x value of the coordinate, will extend in that direction and also lay on the second quadrant. If it is negative, it will "de-extend" and go in the opposite direction, which is a 180 degrees turn to quadrant 4 which is the opposite quadrant.
Hope this helps, 95% sure this is correct.
