Parallelograms Diagonal Properties Free Doubts and Solutions
CBSE - IX - Mathematics - Quadrilaterals
Diagonals of a parallelogram intersect each other at point O If AO=5,BO=12 and AB=13 then show that quadrilateral ABCD is a rhombus
CBSE - IX - Mathematics - Quadrilaterals
if O is a point within a quadrilateral ABCD , show that OA+OB+OC+OD>AC+BD
CBSE - IX - Mathematics - Quadrilaterals
Diagonal AC of a parallelogram ABCD bisects angle A. (a) Does angle A bisects angle c also? Give reasons. (b) Is AbCD a rhombus? Give reasons.
CBSE - IX - Mathematics - Quadrilaterals
1. Show that the diagonals of a Square are equal and bisect each other at right angles.
2. If the diagonals of a quardilateral are equal and bisect each other at rigjt angles, then show that its a square.
CBSE - IX - Mathematics - Quadrilaterals
PQRS is a square. PR and SQ intersect at O. What is the measure of POQ?
CBSE - IX - Mathematics - Quadrilaterals
Prove that the diagonals of a rhombus are perpendicular to each other.
CBSE - IX - Mathematics - Quadrilaterals
ABCD is a rhombus ABC = 66o. Determine ACD.
CBSE - IX - Mathematics - Quadrilaterals
The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Find the length of each side of the rhombus.
CBSE - IX - Mathematics - Quadrilaterals
ABCD is a square prove that diagonal BD bisects B as well as D.
CBSE - IX - Mathematics - Quadrilaterals
Prove that the diagonals of a rectangle are of equal length.
CBSE - IX - Mathematics - Quadrilaterals
PQRS is a parallelogram and X and Y are points on the diagonal QS such that SX = QY. Prove that PXRY is a parallelogram.
CBSE - IX - Mathematics - Quadrilaterals
Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.
CBSE - IX - Mathematics - Quadrilaterals
Each side of a rhombus is 10 cm long and one of its diagonals measures 16 cm. Find the length of the other diagonal and hence find the area of the rhombus.
CBSE - IX - Mathematics - Quadrilaterals
Prove that the diagonals of a parallelogram divides it into two congruent triangles
Prove that the diagonals of a parallelogram divides it into two congruent triangles
CBSE - IX - Mathematics - Quadrilaterals
ABCD is a rectangle in which diagonal BD bisects <B. Show that ABCD is a square
ABCD is a rectangle in which diagonal BD bisects <B. Show that ABCD is a square
CBSE - IX - Mathematics - Quadrilaterals
In a parallelogram ABCD, E and F are the midpoints of sides AB and CD. Prove that the line segments AF and CE trisect the diagonal BD
In a parallelogram ABCD, E and F are the midpoints of sides AB and CD. Prove that the line segments AF and CE trisect the diagonal BD
CBSE - IX - Mathematics - Quadrilaterals
my doubt is if there is a rhombus ABCD and we draw a diagnol AC will this diagnol bisect angles A and C.
CBSE - IX - Mathematics - Quadrilaterals
The value of x in the given parallelogram is
CBSE - IX - Mathematics - Quadrilaterals
5. In a cyclic quadrilateral PQRS If angle P - angle R = 50 degrees. Find the measure of angle P and angle R
5. In a cyclic quadrilateral PQRS If angle P - angle R = 50 degrees. Find the measure of angle P and angle R
CBSE - IX - Mathematics - Quadrilaterals
Two parallel l and m are intersected by transversal P . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.
Two parallel l and m are intersected by transversal P . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.
CBSE - IX - Mathematics - Quadrilaterals
the lengths of the diagonal of a rhombus are 24 cm and 18 cm respectively. find the length of each side of the rhombus
CBSE - IX - Mathematics - Quadrilaterals
TEO PARALLELOGAMS HAVE A COMMON DIAGONAL SHOW THAT THE ANGULAR POINTS ARE THOSE OF A PARALLELOGRAM.
CBSE - IX - Mathematics - Quadrilaterals
IN A PARALLELOGRAM ABCD THE BISECTORS OFANGLE A ALSO BISECTS BC AT X.PROVE THAT AD=2AB
IN A PARALLELOGRAM ABCD THE BISECTORS OFANGLE A ALSO BISECTS BC AT X.PROVE THAT AD=2AB
CBSE - IX - Mathematics - Quadrilaterals
IF PQRS IS A PARALLELOGRAM,PQ AND QO ARE,RESPECTIVELY THE ANGLE BISECTS OF ANGLE P AND ANGLE Q.LINE LOM IS DRAWN PARALLEL TO PQ.PROVE THAT
1. PL=QM
2. LO=OM
IF PQRS IS A PARALLELOGRAM,PQ AND QO ARE,RESPECTIVELY THE ANGLE BISECTS OF ANGLE P AND ANGLE Q.LINE LOM IS DRAWN PARALLEL TO PQ.PROVE THAT
1. PL=QM
2. LO=OM