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

# Parallelograms Basic Properties Free Doubts and Solutions

## Solve question no. 35

Asked by vikasg13.hardware 29th December 2017, 11:55 AM

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## Solve question no. 33

Asked by vikasg13.hardware 29th December 2017, 11:50 AM

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## Please explain all the propertiees of parallelograms

Asked by dhruvtyagi1001 18th October 2017, 9:15 PM

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## Prove that the angle bisectors of a parallelogram form a rectangle.

Asked by Topperlearning User 16th August 2017, 3:14 PM

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## Prove that the diagonals of a square are equal and perpendicular to each other.

Asked by Topperlearning User 16th August 2017, 3:13 PM

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## ABCD is a parallelogram and line segments AX and CY bisect A and C respectively. Prove that AX || CY.

Asked by Topperlearning User 16th August 2017, 3:12 PM

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## Prove that a quadrilateral is a parallelogram, if its one pair of sides are equal and parallel.

Asked by Topperlearning User 16th August 2017, 3:12 PM

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## ABCD is a rectangle with BAC = 32°. Determine DBC.

Asked by Topperlearning User 16th August 2017, 3:11 PM

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## Triangles ABC and DEF are given in such a way that AB||DE; AB = DE; show that AC||DF and AC = DF.

Asked by Topperlearning User 16th August 2017, 3:10 PM

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## ABCD is a parallelogram. E and F are the mid points of the sides AB and CD respectively. Prove that the segments CE and AF trisect the diagonal BD.

Asked by Topperlearning User 16th August 2017, 3:10 PM

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## ABCD is a parallelogram and E is the mid point of side BC. If DE and AB when produced meet at F, prove that AF = 2AB.

Asked by Topperlearning User 16th August 2017, 3:09 PM

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## In the figure PQRS is a parallelogram and X, Y are the points on the diagonal QS, such that SX = QY. Prove that quadrilateral PYRX is a parallelogram.

Asked by Topperlearning User 16th August 2017, 3:09 PM

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

Asked by Topperlearning User 16th August 2017, 3:08 PM

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## In a quadrilateral ABCD, two diagonals AC and BD intersect at O. If angle DAB=angle BCD=60°, DO=4 cm and AO=5 cm, then find the value of AC+BC.

Asked by mkmishra101 8th March 2016, 12:56 PM

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## In a parallelogram ABCD, E and F are points on AB and CD such that AE = CE. Prove that ED II BF.

Asked by dimplesharma0810 29th February 2016, 6:11 PM

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## AD is a median of ∆ABC and E is the mid point of AD. BE produced meets AC in F. Prove that AF = 1/3 AC

Asked by dimplesharma0810 28th February 2016, 8:56 AM

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## ABCD is a rhombus, EABF is a straight line such that EA = AB = BF.Prove that  ED and FC when produced meet at right angles ?

Asked by nisha_vini29 22nd February 2016, 10:41 AM

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## How we prove that if each pair of opposite angles of a quadrilateral are equal then it is a parallelogram.

Asked by dimplesharma0810 23rd December 2015, 4:02 PM

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## the side AB of parallelogram ABCD is produced both ways to F and G , so that AF = AD and BG = BC. Prove that FD and GC produced intersect at right angles

Asked by Paresh 10th December 2015, 10:58 AM

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## ABCD is a parallelogram of which no angle is 600 . Equilateral triangles ADE and DCF are drawn outwardly on the sides AD and DC. Show that triangle ABE is congruent to triangle CFB

Asked by Paresh 10th December 2015, 10:31 AM

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## Prove the line segment joining the mid points of the diagonal of trapezium is parallel to each of the parallel sides.

Asked by M.s.srinidhi21 6th October 2014, 6:47 AM

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## In the given figure, ABCD is a trapezium in which AB||CD and AD = BC . Show that (i) A = B (ii) C = D (iii)

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

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## In the figure, PQRS is a square. M is the midpoint of PQ and AB RM. Prove that RA = RB.

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

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## Prove that the diagonals of a parallelogram divide it into two congruent triangles.

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

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## Points A and B are in the same sides of a line l. AD and BE are perpendiculars to l, meeting l at D and E respectively. C is the mid-point of AB. Prove that CD = CE

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

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## ABCD is a parallelogram and line segments AX and CY bisect angles A and C. Show that AX||YC.

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

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## ABCD is a parallelogram. X and Y are points on DC and AB such that AY = CX. Prove that XY and BD bisect each other.

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

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## In the figure, AB||DE, AB = DE, AC||DF, AC = DF. Prove that BC||EF and BC = EF.

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

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## In the figure, it is given that BDEF and FDCE are parallelograms. If BD = 4 cm, determine CD.

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

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## ABCD is a trapezium in which AB||CD and AD = BC Show that: (a) A = B (b) C = D

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

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## In figure, ABCD is a parallelogram and AP and CQ are perpendiculars from the vertices A and C respectively on the diagonal BD. Show that (a) (b) AP = CQ

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

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## In figure, diagonal BD of parallelogram ABCD bisects B. Show that it bisects D also.

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

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## Prove that diagonal of a parallelogram divides it into two congruent triangles.

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

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## Diagonals PR and QS of quadrilateral PQRS intersect at T such that PT = TR. If PS = QR, show that ar (PTS) = ar (RTQ).

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

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## In the figure, P is the mid-point of side BC of parallelogram ABCD such that BAP = DAP. Prove that AD = 2CD.

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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### CBSE - IX - Mathematics - Quadrilaterals

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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### CBSE - IX - Mathematics - Quadrilaterals

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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### CBSE - IX - Mathematics - Quadrilaterals

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

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## Prove that a cyclic parallelogram is a rectangle.

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