A quadrilateral is inscribed in a parabola. Then (a)the quadrilateral may be cyclic (b)diagonals of the quadrilateral may be equal (c)allpossible pairs of the adjacent side may be perpendicular (d)none of these

The diagonals of a quadrilateral bisect each other. This quadrilateral is a (a) rectangle (b) kite (c) trapezium (d) none of these

Draw a rough sketch of a quadrilateral ABCD and name of the following : Four pairs of adjacent sides

A quadrilateral is a parallelogram, if its one pair of opposite sides are equal and parallel.

If two opposite sides of a cyclic quadrilateral are equal, then the other two sides are parallel.

If two sides of a cyclic quadrilateral are parallel , prove that the other two sides are equal

A quadrilateral whose opposite sides are parallel is called (a) a rhombus (b) a kite (c) a trapezium (d) none of these

Name the quadrilaterals whose diagonals: bisect each other are perpendicular bisector of each other are equal

Complete each of the following, so as to make a true statement: A quadrilateral has ............ sides A quadrilateral has ............ angles. A quadrilateral has ............ vertices, no three of which are.... A quadrilateral has ............ diagonals. The number of pairs of adjacent angles of a quadrilateral is ...... The number of pairs of opposite angles of a quadrilateral is ...... The sum of the angles of quadrilateral is..... A diagonals of quadrilateral is a line segment that joins two ..... vertices of the quadrilateral. The sum of the angles of a quadrilateral is ......... right angles. The measure of each angle of a convex quadrilateral is ...... 180^0dot In a quadrilateral the point of intersection of the diagonals lie lies in .... of the quadrilateral. A point is in the interior of a convex quadrilateral, if it is in the ....... of its two opposite angles. A quadrilateral is convex if for each side, the remaining.... lie on the same side of the line containing the side.

A quadrilateral is inscribed in a parabola y^2=4a x and three of its sides pass through fixed points on the axis. Show that the fourth side also passes through a fixed point on the axis of the parabola.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.