the point (-11,2) is reflected across the x and y axes. in what quadrant is the reflected point located

1 answer

To find the reflected point of (-11, 2) across the x and y axes, we can apply the transformations for reflection across each axis:

  1. Reflection across the x-axis: The y-coordinate changes sign. Thus, (-11, 2) reflected across the x-axis becomes (-11, -2).

  2. Reflection across the y-axis: The x-coordinate changes sign. Therefore, (-11, -2) reflected across the y-axis becomes (11, -2).

Now, the point (11, -2) has a positive x-coordinate and a negative y-coordinate. This places it in the fourth quadrant, where x is positive and y is negative.

So, the reflected point (11, -2) is located in the fourth quadrant.