Question

PLEASE HELP GEOMETRY

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

a(–1, –3)
b(3, –1)
c(1, 3)
d(–3, 1)

Answer 1

the new co ordinate would be (3,-1)

Answer 2

Answer-

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

Solution-

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,

$=(-(-3),\ -(1))$

$=(3,\ -1)$

Therefore, after reflection the coordinates of F will be (3, -1).