# Parallelograms Basic Properties Free Doubts and Solutions

### CBSE - IX - Mathematics - Quadrilaterals

## Solve question no. 35

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

### CBSE - IX - Mathematics - Quadrilaterals

## Solve question no. 33

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

### CBSE - IX - Mathematics - Quadrilaterals

## Pleave solve question no 5 with proper explanation

**adityaahuja099**10th November 2017, 4:12 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Please explain all the propertiees of parallelograms

**dhruvtyagi1001**18th October 2017, 9:15 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:14 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:13 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:12 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:12 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:11 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:10 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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.

**Topperlearning User**16th August 2017, 3:10 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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.

**Topperlearning User**16th August 2017, 3:09 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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.

**Topperlearning User**16th August 2017, 3:09 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**16th August 2017, 3:08 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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.

**mkmishra101**8th March 2016, 12:56 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**dimplesharma0810**29th February 2016, 6:11 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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

**dimplesharma0810**28th February 2016, 8:56 AM

### CBSE - IX - Mathematics - Quadrilaterals

## 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 ?

**nisha_vini29**22nd February 2016, 10:41 AM

### CBSE - IX - Mathematics - Quadrilaterals

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

**dimplesharma0810**23rd December 2015, 4:02 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Paresh**10th December 2015, 10:58 AM

### CBSE - IX - Mathematics - Quadrilaterals

##
ABCD is a parallelogram of which no angle is 60^{0} . Equilateral triangles ADE and DCF are drawn outwardly on the sides AD and DC. Show that triangle ABE is congruent to triangle CFB

ABCD is a parallelogram of which no angle is 60^{0} . Equilateral triangles ADE and DCF are drawn outwardly on the sides AD and DC. Show that triangle ABE is congruent to triangle CFB

**Paresh**10th December 2015, 10:31 AM

### CBSE - IX - Mathematics - Quadrilaterals

7. In a figure Angle AOB = 90 Degrees AC =

BC OA = 12 cm OC = Six.five cm. Find measue of OB

7. In a figure Angle AOB = 90 Degrees AC =

BC OA = 12 cm OC = Six.five cm. Find measue of OB

**avantikadandapani**17th November 2014, 7:07 PM

### CBSE - IX - Mathematics - Quadrilaterals

9. Prove that a line passing through mid point of one non parallel side of a trapezium parallel to parallel sides bisect the other non parallel side

9. Prove that a line passing through mid point of one non parallel side of a trapezium parallel to parallel sides bisect the other non parallel side

**avantikadandapani**17th November 2014, 6:26 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

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

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

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## 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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

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

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Quadrilaterals

## Prove that a cyclic parallelogram is a rectangle.

**Topperlearning User**4th June 2014, 1:23 PM