The point (−16, 11) is reflected across the x

Question

- and y
-axes. In what quadrant is the reflected point located?

(1 point)
Responses

Quadrant IV
Quadrant IV

Quadrant III
Quadrant III

Quadrant II
Quadrant II

Quadrant I

Answer 1

To find the location of the point (−16, 11) after reflecting it across the x-axis and then the y-axis, we can follow these steps:

1. Reflect across the x-axis: This changes the sign of the y-coordinate while keeping the x-coordinate the same.

   • The point becomes (−16, −11).

2. Reflect across the y-axis: This changes the sign of the x-coordinate while keeping the y-coordinate the same.

   • The point becomes (16, −11).

Now we analyze the new coordinates (16, −11):

• The x-coordinate is positive (16).
• The y-coordinate is negative (−11).

The point (16, −11) is located in Quadrant IV.

Thus, the reflected point is located in Quadrant IV.