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.

Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.