Question

Instructions:Select the correct answer. 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'(0, 3), B'(2, 3), C'(1, 1) A'(0, -3), B'(3, -2), C'(1, -1) A'(-3, 0), B'(-3, 2), C'(-1, 1) A'(0, -3), B'(-2, -3), C'(-1, -1)

Answer 1

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) 

rotated 180° clockwise about the origin will be (-x, -y)
A'(3, 0), B'(2, -3), C'(1, -1) 

reflected across the line y = -x, then will be (-y, -x) so
A'(0, -3), B'(3, -2), C'(1, -1) 

answer
A'(0, -3), B'(3, -2), C'(1, -1)