<u>Answer-</u>
<em>The coordinates of the image of vertex F after a reflection across the line y = –x will be</em><em> (3, -1)</em>
<u>Solution-</u>
The co-ordinate of the vertex F is (1, -3).
We know that while reflecting a point with coordinate (x, y) over y=-x line, it becomes (-y, -x).
So applying this rule for vertex F, the new coordinates will be,
![=(-(-3),\ -(1))](https://tex.z-dn.net/?f=%3D%28-%28-3%29%2C%5C%20-%281%29%29)
![=(3,\ -1)](https://tex.z-dn.net/?f=%3D%283%2C%5C%20-1%29)
Therefore, after reflection the coordinates of F will be (3, -1).