Question

State the coordinates of the reflection of the isosceles trapezoid across the line of reflection y = –x.

Answer 1

Based on the given image, the coordinates of the pre image are:
A (-3,4)
B (-1,4)
C (1,1)
D (-5,1)

When you do a reflection in the line y = -x ; (x,y) coordinate becomes (-y,-x)

A (-3,4) → (-(4),-(-3)) → A' (-4,3)
B (-1,4) → (-(4),-(-1)) → B' (-4,1)
C (1,1) → (-(1),-(1)) → C' (-1,-1)
D (-5,1) → (-(1),-(-5)) → D' (-1,5)

I attached what the reflection will look like over line y = -x