ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
(A) A'(0, 3), B'(2, 3), C'(1, 1)
(B) A'(0, -3), B'(3, -2), C'(1, -1)
(C) A'(-3, 0), B'(-3, 2), C'(-1, 1)
(D) A'(0, -3), B'(-2, -3), C'(-1, -1)

Question

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?
(A) A'(0, 3), B'(2, 3), C'(1, 1)
(B) A'(0, -3), B'(3, -2), C'(1, -1)
(C) A'(-3, 0), B'(-3, 2), C'(-1, 1)
(D) A'(0, -3), B'(-2, -3), C'(-1, -1)

anonymous · Answer

so if it is being rotated 180 degrees , then this is what you would do to each original point. (x, y) -> (-x, -y). so what would the points then be