What are the coordinates of the image of vertex F after a reflection across the line y = -x?

Solution:

An image of a quadrilateral is provided

We should determine the coordinates of the image of vertex F after a reflection across the line y = -x

Rule of reflection across the line y = - x is (x, y) → (-y, -x)

Here the coordinates of point F are (1, -3)

After reflecting the point F across the line y = -x

x and y coordinates will interchange and their signs will also change

(1, -3) → (- (-3), -1) = (3, -1)

Therefore, the coordinates are (3, -1).

What are the coordinates of the image of vertex F after a reflection across the line y = -x?

Summary:

The coordinates of the image of vertex F after a reflection across the line y = -x is (3, -1).