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quadrilateral abcd underwent a sequence of transformations to give quadrilateral a′b′c′d′. which transformations could have taken place?

a. a reflection across the x-axis followed by a reflection across the y-axis

b. a translation 10 units down followed by a translation 8 units to the right

c. a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis

d. a reflection across the line y = x followed by a reflection across the line y = -x