The vertices of a quadrilateral abcd are a(1,1), b(1,5), c(5,5), and d(7,1).

part a) a trapezoid is a four-sided figure with exactly one pair of parallel sides. is abcd a trapezoid? explain your answer.

part b) you want to transform abcd into a parallelogram by only moving point b. a parallelogram is a four-sided figure with both pairs of opposite sides parallel. what should be the new coordinates of point b? explain your answer.