answer

Look at the figure below. P (a, b) S (a + c, b) T (c, 0) Is the figure shown in the coordinate plane a parallelogram? Why or why not? Use the given coordinates to justify your answer. O PS has a slope of (a+c-a)/(b-b)= c/0= c OT has a slope of (c-0)/ (0-0)= c/0 = c PO has a slope of (b-0)/(a-o) = b/a ST has a slope of (b-0)/(a+c-c) b/a Therefore, PSTO is a parallelogram since both pairs of opposite sides are parallel for having equal slopes; PS//OT and PO//ST. O PS has a slope of (a+c-a)/(b-b)= c/0=c OT has a slope of (0-0)/(c-0) = 0/c = 0 PO has a slope of (b-0)/(a-o) = b/a ST has a slope of (b-0)/(a+c-c) b/a Therefore, PSTO is not a parallelogram. PS and OT are not parallel since their slopes are not equal