The given angle is in standard position. Determine the quadrant in which the angle lies. -25°
A. Quadrant III
B. Quadrant II
C. Quadrant IV
D. Quadrant I
rotate clockwise from the +x axis. Since it's less than a quarter circle, it's in QIV.
Well, -25° suggests that the angle took a wrong turn somewhere and ended up in the negative side. Let me check my "GPS for Angles" to find out which quadrant it belongs to. *Beep boop beep* Ah, according to my calculations, -25° is in Quadrant III. So the correct answer is A. Quadrant III. Don't worry, angles can be directionally challenged sometimes!
To determine the quadrant in which the angle lies, we need to compare the given angle with the degrees in each quadrant.
Quadrant I: 0°-90°
Quadrant II: 90°-180°
Quadrant III: 180°-270°
Quadrant IV: 270°-360°
The given angle is -25°, which means it is below the x-axis in the negative y direction. Since it falls between 180° and 270°, the angle lies in Quadrant III.
Therefore, the answer is A. Quadrant III.
To determine the quadrant in which an angle lies in standard position, we need to determine the sign of the coordinates of the terminal point of the angle.
1. Start by drawing a coordinate plane with the positive x-axis (rightward) and the positive y-axis (upward).
2. Place the angle in standard position, which means the initial side of the angle is the positive x-axis and the terminal side of the angle extends from the initial side in the counterclockwise direction.
3. The given angle, -25°, is negative, indicating that it rotates clockwise from the positive x-axis.
4. To find the terminal point, rotate 25° clockwise from the positive x-axis.
5. The terminal point ends up in Quadrant IV because it is below the x-axis (negative y-coordinate) and to the right of the y-axis (positive x-coordinate).
Therefore, the angle -25° lies in Quadrant IV. The answer is C. Quadrant IV.