The vertices of a quadrilateral are at (- 2,4), (1, 3) (4,3) and (1,2). Show that the quadrilateral is a parallelogram.

The vertices of a quadrilateral are points A (- 4, 3), B (0, 0), C (4, 0) and D (0, 3). Find the lengths of its sides and point out what type of quadrilateral is it ?

If each diagonal of a quadrilateral separated it into two triangles of equal area, then show that quadrilateral is a parallelogram.

Without using the distance formula, show that (- 2, - 1), (4, 0), (3, 3) and (- 3, 2) are the vertices of a parallelogram .

Given statement below. Identify the statement given below as contrapositive or converse of each other. If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Given the following statement : If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Identify these as contrapositive or converse of each other.

Without using distance formula, show that points (- 2,-1), (4, 0), (3, 3) and (-3, 2) are the vertices of a parallelogram.

By using the concept of slope, show that the points (-2,-1), (4,0), (3,3) and (-3,2) are the vertices of a parallelogram.

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6 . The respective angles of the quadrilateral are :