Advertisements
Advertisements
प्रश्न
In the following figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?

Advertisements
उत्तर
BDEF is a parallelogram ...[Given]
So, BD = EF ...(i) [Opposite side of a parallelogram]
FDCE is a parallelogram ...[Given]
So, CD = EF ...(ii)
Now, from equation (i) and (ii), we get
BD = CD
APPEARS IN
संबंधित प्रश्न
E is the mid-point of side AB and F is the mid-point of side DC of parallelogram ABCD. Prove that AEFD is a parallelogram.
Prove that the bisectors of opposite angles of a parallelogram are parallel.
The following figure shows a trapezium ABCD in which AB is parallel to DC and AD = BC. 
Prove that:
(i) ∠DAB = ∠CBA
(ii) ∠ADC = ∠BCD
(iii) AC = BD
(iv) OA = OB and OC = OD.
Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM = CN. Prove that BMDN is a parallelogram.
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: QR = QT
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: RT bisects angle R
In a parallelogram ABCD, E is the midpoint of AB and DE bisects angle D. Prove that:CE is the bisector of angle C and angle DEC is a right angle
Find the perimeter of the parallelogram PQRS.

Which of the following statement is correct?
Construct a parallelogram POUR in which, PO = 5.5 cm, OU = 7.2 cm and ∠O = 70°.
