The point C(-5, -2) lies ina)III Quadrantb)IV Quadrantc)I Quadrantd)II...
The coordinate plane is divided into four quadrants by the x and y axes. Each quadrant is named with a capital Q and a roman numeral, starting in the upper right quadrant as QI and rotating counter-clockwise.
Points in the coordinate plane are located based on their distance from the x and y axes. The sign of the coordinates tells you which quadrant a point lies in:
* Quadrant I (QI): both x and y coordinates are positive (+)
* Quadrant II (QII): x coordinate is negative (-) and y coordinate is positive (+)
* Quadrant III (QIII): both x and y coordinates are negative (-)
* Quadrant IV (QIV): x coordinate is positive (+) and y coordinate is negative (-)
The point C (-5, -2) has a negative x-coordinate and a negative y-coordinate. Therefore, it lies in Quadrant III.
The point C(-5, -2) lies ina)III Quadrantb)IV Quadrantc)I Quadrantd)II...
Explanation:
Quadrants in the Coordinate Plane:
In the coordinate plane, there are four quadrants labeled as I, II, III, and IV. The quadrants are separated by the x-axis and y-axis. The signs of the x and y coordinates determine in which quadrant a point lies.
Coordinates of the Point:
The point C(-5, -2) has x-coordinate as -5 and y-coordinate as -2.
Identification of Quadrant:
To determine in which quadrant the point C(-5, -2) lies, we need to consider the signs of the x and y coordinates.
- Since the x-coordinate is negative (-5), it means the point lies to the left of the y-axis.
- Since the y-coordinate is negative (-2), it means the point lies below the x-axis.
Location of Point C:
Based on the signs of the coordinates:
- The point C(-5, -2) lies to the left of the y-axis (negative x-coordinate).
- The point C(-5, -2) lies below the x-axis (negative y-coordinate).
Conclusion:
Therefore, the point C(-5, -2) lies in the III Quadrant of the coordinate plane.