Understanding quadrilateral

If the mid points of consecutive of a quadrilateral connected by straight lines prove that the resulting quadrilateral is a parallelogram.

Find the perimeter of the adjoining quadrilateral

Rewrite the following statement in the form p if only if q : q : if a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

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.

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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

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

The diagonals of a quadrilateral intersect at right angles. Prove that the figure obtained by joining the mid-points of the adjacent sides of the quadrilateral is a rectangle.

All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?

Three angles of a quadrilateral are in the ratio 4:6:3. If the fourth angle is 100^(@) find the three angles of the quadrilateral.