Question

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

Answer 1

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.