Prove that points `(-3, -1), (2, -1), (1, 1) and (-2, 1)` taken in order are the vertices of a trapezium.

Show that the points (1,1),(-1,5),(7,9)and(9,5) taken in that order, are the vertices of a rectangle.

Prove that the points (4, 8), (7, 5) , (1, -1) and (-2, 2) are the vertices of a parallelogram.

Prove that the points (-1, -2), (-2, -5), (-4, -6) and (-3, -3) are the vertices of a parallelogram.

Prove that the points (-2, -1), (1, 0), (4, 3) and (1, 2) are the vertices of a parallelogram.

Prove that the points (-4, -1), (-2, -4), (4,0) and (2,3) are the vertices of a rectangle.

Prove that the points (2, -1), (4, 1), (2, 3) and (0, 1) are the vertices of a square.

Prove that the point A(1,3,0),\ B(-5,5,2),\ C(-9,-1,2)\ a n d\ D(-3,-3,0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.

If the point (x ,-1),(3, y),(-2,3),a n d(-3,-2) taken in order are the vertices of a parallelogram, then find the values of xa n dydot

Prove that the points (3,\ 0),\ (4,\ 5),\ (-1,\ 4) and (-2,\ -1) , taken in order, form a rhombus. Also, find its area.

Using slopes, prove that the points A(-2,-1) , B(1,0) , C(4,3) and D(1,2) are the vertices of a parallelogram.