Answer:
A reflection followed by a rotation
Explanations:
Coordinates of ABCD
A(-8, 6), B(-2, 6), C(-2, 4), D(-8, 4)
Coordinates of A'B'C'D'
A'(-8, -6), B(-2, -6), C'(-2, -4), D'(-8, -4)
The rule of transformation from ABCD to A'B'C'D' is (x y)→(x −y)
Therefore, ABCD was reflected across the x-axis to form A'B'C'D'
Coordinates of A"B"C"D"
A"(6, -8), B"(6, -2), C"(4, -2), D"(4, -8)
The rule of transformation from A'B'C'D' to A"B"C"D" is (x y)→(-y, x)
Therefore, A'B'C'D' was rotated clockwise by 270° to form A"B"C"D"
The sequence of transformation is therefore a reflection followed by a rotation