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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Quadrilaterals/Parallelograms Diagonal Properties

Parallelograms Diagonal Properties Free Doubts and Solutions

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

Asked by Rajeshparve 25th October 2018, 10:40 PM

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if O is a point within a quadrilateral ABCD , show that OA+OB+OC+OD>AC+BD

Asked by gspublicschool 8th September 2018, 6:04 AM

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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.

Asked by kirtiagarwal148 18th February 2018, 9:39 PM

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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.

Asked by Jitendra 26th September 2017, 4:35 PM

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PQRS is a square. PR and SQ intersect at O. What is the measure of POQ?

Asked by Topperlearning User 17th August 2017, 7:45 AM

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Prove that the diagonals of a rhombus are perpendicular to each other.

Asked by Topperlearning User 17th August 2017, 7:45 AM

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ABCD is a rhombus ABC = 66o. Determine ACD.

Asked by Topperlearning User 17th August 2017, 7:41 AM

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The lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively. Find the length of each side of the rhombus.

Asked by Topperlearning User 17th August 2017, 7:30 AM

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ABCD is a square prove that diagonal BD bisects B as well as D.

Asked by Topperlearning User 17th August 2017, 7:29 AM

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Prove that the diagonals of a rectangle are of equal length.

Asked by Topperlearning User 17th August 2017, 7:25 AM

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PQRS is a parallelogram and X and Y are points on the diagonal QS such that SX = QY. Prove that PXRY is a parallelogram.

Asked by Topperlearning User 17th August 2017, 7:24 AM

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Show that the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.

Asked by Topperlearning User 17th August 2017, 7:23 AM

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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.

Asked by Topperlearning User 17th August 2017, 7:22 AM

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Prove that the diagonals of a parallelogram divides it into two congruent triangles

Asked by Paresh 11th December 2015, 2:59 PM

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ABCD is a rectangle in which diagonal BD bisects <B. Show that ABCD is a square

Asked by Paresh 11th December 2015, 2:32 PM

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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

Asked by Paresh 11th December 2015, 1:38 PM

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my doubt is if there is a rhombus ABCD and we draw a diagnol AC will this diagnol bisect angles A and C.

Asked by kiranq6 12th November 2015, 9:59 AM

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The value of x in the given parallelogram is Asked by buntitanooj 25th October 2015, 2:20 PM

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the lengths of the diagonal of a rhombus are 24 cm and 18 cm respectively. find the length of each side of the rhombus

Asked by dev 10th November 2014, 8:26 PM

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TEO PARALLELOGAMS HAVE A COMMON DIAGONAL SHOW THAT THE ANGULAR POINTS ARE THOSE OF A PARALLELOGRAM.

Asked by M.s.srinidhi21 6th October 2014, 7:40 AM

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IN A PARALLELOGRAM ABCD THE BISECTORS OFANGLE A ALSO BISECTS BC AT X.PROVE THAT AD=2AB

Asked by M.s.srinidhi21 6th October 2014, 7:02 AM

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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

Asked by M.s.srinidhi21 6th October 2014, 6:57 AM

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Show that the diagonals of a rhombus are perpendicular to each other.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Diagonal AC of a parallelogram bisects A. Show that: (i) it bisects C also (ii) ABCD is a rhombus

Asked by Topperlearning User 4th June 2014, 1:23 PM

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D, E and F respectively are the mid-points of the sides BC, CA and AB of ABC. Show that ar(DEF) =

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Prove that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Diagonals of a parallelogram ABCD intersect at point O. Through O, a line is drawn to intersect AD at P and BC at Q. Show that PQ divides the parallelogram into two parts of equal area.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Show that diagonals of a square are equal and bisect each other at right angles.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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CBSE - IX - Mathematics - Quadrilaterals

Asked by Topperlearning User 4th June 2014, 1:23 PM

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Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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ABCD is a parallelogram whose diagonals AC and BD intersect at O. A line through O intersect AB at P and DC at Q. Prove that: ar(POA) = ar(QOC)

Asked by Topperlearning User 10th December 2013, 10:02 AM