Which quadrant has both ordinate and abscissa negative?

Options

A. I
B. II
C. III
D. IV

Answer

To determine which quadrant has both the ordinate (y-coordinate) and abscissa (x-coordinate) negative, we can analyze the Cartesian coordinate system step by step.

### Step-by-Step Solution:

1. **Understand the Coordinate System**:
- The Cartesian coordinate system is divided into four quadrants based on the signs of the x (abscissa) and y (ordinate) coordinates.
- The quadrants are defined as follows:
- **First Quadrant**: x > 0 and y > 0 (both coordinates are positive)
- **Second Quadrant**: x < 0 and y > 0 (x is negative, y is positive)
- **Third Quadrant**: x < 0 and y < 0 (both coordinates are negative)
- **Fourth Quadrant**: x > 0 and y < 0 (x is positive, y is negative)

2. **Identify the Quadrant with Negative Coordinates**:
- We need to find the quadrant where both x and y coordinates are negative.
- From the definitions above, we see that in the **Third Quadrant**, both x and y are negative (x < 0 and y < 0).

3. **Conclusion**:
- Therefore, the quadrant that has both the ordinate and abscissa negative is the **Third Quadrant**.

### Final Answer:
The quadrant that has both ordinate and abscissa negative is the **Third Quadrant**.