Home
Class 9
MATHS
In the figure ABCD and DXBY are two para...

In the figure ABCD and DXBY are two parallelograms with BD as the common diagonal. Prove that AYCX is also a parallelogram.

Text Solution

Verified by Experts

Here, `AB = CD and AB|| CD`
`AD = BC and AD||BC`
`DX = BY and DX || BY`
`DY = BX and DY || BX`
Now, in `Delta CXD` and `Delta AYC`
`DX = BY`
`CD = AB`
`/_ABY = /_XDC`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

ABCD and APCR are the two parallelograms and AC is the common diagonal. Prove that PBRD is a parallelogram.

In the fig. ABCD is a parallelogram and X,Y and Z the points on diagonal BD such that DX=BD prove that CXAY is a parallelogram.

In a parallelogram ABCD, X and Y are points on diagonal BD such that DX=BY. Prove that AXCY is a parallelogram.

In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC bot BD, then angle BEC =

In the given figure, ABCD is a parallelogram in which AN and CP are perpendiculars on diagonal BD. Prove that : (i) DeltaADN =DeltaCBP (ii) AN=CP

In the given figure, ABCD is a parallelogram in which AN and CP are perpendiculars on diagonal BD. Prove that : (i) DeltaADN =DeltaCBP (ii) AN=CP

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

Two segments AC and BD bisect each other at O. Prove that ABCD is a parallelogram.

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BY. Prove that squareAXCY is a parallelogram.