Question

Rectangle abcd has vertex coordinates -1,-1 b-1,-3 c-4,-3d-4,-1.It is translated 4 units to the right and reflected across the line y=x what are the coordinates of

Answer 1

A"(3, 3), B"(1, 3), C"(1, 0), D"(3, 0)

Explanation:

Rectangle ABCD has the vertex coordinates as A(-1, -1), B(-1, -3), C(-4, -3), D(-4, -1)

When translated 4 units to the right then rule followed for the new coordinates will be,

(x, y) → [(x+4), (y+4)]

Now the new vertices will be

A' [(-1+4), (-1+4)] or A'(3, 3)

B' [(-1+4), (-3+4)] or B'(3, 1)

C' [(-4+4), (-3+4)] or C' (0, 1)

D' [(-4+4), (-1+4)] or D' (0, 3)

Rule to reflect the points across the line y = x then rule followed will be

(x', y') → (y', x')

Now the new coordinates of the vertices will be

A'(3, 3) → A" (3, 3)

B' (3, 1) → B" (1, 3)

C' (0, 1) → C" (1, 0)

D' (0, 3) → D" (3, 0)