The point (12, −10) is reflected across the x -axis. In what quadrant is the reflected point located?
When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate is negated.
For the point (12, -10), after reflection, the x-coordinate remains 12, but the y-coordinate becomes -(-10) = 10.
Therefore, the reflected point is located in the fourth quadrant since the x-coordinate is positive and the y-coordinate is positive.
are u sure
Apologies, I made an error in my previous response.
When a point is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate is negated.
For the point (12, -10), after reflection, the x-coordinate remains 12, but the y-coordinate becomes -(-10) = 10.
Therefore, the reflected point is located in the first quadrant since the x-coordinate is positive and the y-coordinate is positive.
The point (12, −10) is reflected across the x -axis. In what quadrant is the reflected point located?
quadrant l Quadrant I Quadrant IV Quadrant IVQuadrant I IQuadrant IIQuadrant III
The reflected point of (12, -10) across the x-axis would have the same x-coordinate (12) but its y-coordinate would become positive (10).
Since the x-coordinate is positive (12) and the y-coordinate is positive (10), the reflected point is located in Quadrant I.
The point (−16, 11) is reflected across the x - and y -axes. In what quadrant is the reflected point located?
When a point is reflected across the x-axis, the y-coordinate is negated and the x-coordinate remains unchanged. Similarly, when a point is reflected across the y-axis, the x-coordinate is negated and the y-coordinate remains unchanged.
For the point (-16, 11), first, let's reflect it across the x-axis. The x-coordinate (-16) remains unchanged, but the y-coordinate (11) becomes (-11). So the reflected point after reflecting across the x-axis is (-16, -11).
Now let's reflect this point (-16, -11) across the y-axis. The y-coordinate (-11) remains unchanged, but the x-coordinate (-16) becomes (16). So the final reflected point after reflecting across both the x- and y-axes is (16, -11).
Therefore, the final reflected point is located in the fourth quadrant because the x-coordinate (16) is positive and the y-coordinate (-11) is negative.