Question

Rectangle ABCD has vertex coordinates A(–1, –1), B(–1, –3), C(–4, –3), and D(–4, –1). It is translated 4 units to the right and reflected across the line y = x. What are the coordinates of A"B"C"D"?

Answer 1

the translation takes the point A ( -1, -1)  to (-1+4, 1) =  (3, 1)

The refection in y = x  'flips' the points so  (3, 1) becomes  (1, 3) = A"

Do the same procedure for the other points to get the answer

(you should get B" =  (-3, 3) )