Quadrilateral part 8

The diagonals of a quadrilateral are of lengths 6cm and 8cm. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?

The co-ordinates of the four vertices of quadrilateral are (-2,4),(-1,2), (1, 2) and (2, 4), taken in order. The equation of the line through the vertex (-1, 2) and dividing the quadrilateral in two equal parts is:

4 points out of 8 points in a plane are collinear. Number of different quadrilateral that can be formed by joining them is

The angles of a quadrilateral are in the ratio 3: 4: 5: 6 . Show that the quadrilateral is a trapezium.

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle

If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.

All the angles of a quadrilateral are equal. What special name is given to this quadrilateral ?

Quadrilateral class 9

The vertices of a quadrilateral are A(-2,6),\ B(1,2),\ C(10 ,4)a n d D(7,8) . Find the equations of its diagonals.

If each diagonals of a quadrilateral separates it into two triangles of equal area then show that the quadrilateral is a parallelogram.