The point (12, −10) is reflected across the x
-axis. In what quadrant is the reflected point located?
(1 point)
Responses
Quadrant III
Quadrant III
Quadrant IV
Quadrant IV
Quadrant II
Quadrant II
Quadrant I
The point (12, -10) is reflected across the x-axis, which means that the y-coordinate will change sign while the x-coordinate remains the same.
The reflected point will have coordinates (12, 10).
Considering the quadrants:
- Quadrant I has positive x and y coordinates.
- Quadrant II has negative x and positive y coordinates.
- Quadrant III has negative x and y coordinates.
- Quadrant IV has positive x and negative y coordinates.
Since the y-coordinate of the reflected point (12, 10) is positive and the x-coordinate is positive, the reflected point is located in Quadrant I.