Important Theorems of Quadrilaterals

Introduction|Quadrilaterals|Types Of Quadrilaterals|Properties Of A Parallelogram|Theorem|OMR

Theorem 10.12 : If the sum of a pair of opposite angles of a quadrilateral is 180º, the quadrilateral is cyclic.

theorem 1 (Exterior angle sum property) if the sides of quadrilateral are produced in order the sum of four exterior angles so formed is 360^(@).

What Is A Quadrilaterals?|Types Of Quadrilaterals|Question

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.

Theorem 8.3 : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

Theorem 1the sum of the angles of a quadrilateral is 360^(@) or 4 right angles.

Transpose Of Matrix|Examples|Symmetric Matrix|Skew - Symmetric Matrix|Important Theorem|OMR|Quiz|Summary

Revision|Questions|Angle Subtended By An Arc Of A Circle|Theorem|Cyclic Quadrilateral|Theorem|Questions

Theorem 8.5 : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.