Question

Show that the points A(-1,- 2), B (4,3), C (2,5) and D (-3,0) in that order form a rectangle​

Answer 1

Answer:

Here AB=CD,AD=BC as it forms rectangle because in rectangle opposite sides are always equal to each other.

Answer 2

We know that, in a rectangle, opposite sides and diagonals are equal and bisect each other Calculate the distance between A ( - 1, - 2) and B (4, 3); By using the distance formula; ∵ Distance between the points (x1, y1) and (x2, y2); Since, AB = CD and AD = BC Also, Calculate the distance of diagonals; Distance between A ( - 1, - 2) and C (2, 5); Since, diagonals AC and BD are equal Hence, the points A ( - 1, - 2), B (4, 3), C (2, 5) and D ( - 3, 0) form a rectangle.

i hope it's help you...