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
The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.
In the given figure, ABCD is a parallelogram.
Prove that: AB = 2 BC.

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.
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: QR = QT
In a parallelogram ABCD, E is the midpoint of AB and DE bisects angle D. Prove that: BC = BE.
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
In parallelogram ABCD of the accompanying diagram, line DP is drawn bisecting BC at N and meeting AB (extended) at P. From vertex C, line CQ is drawn bisecting side AD at M and meeting AB (extended) at Q. Lines DP and CQ meet at O. Show that the area of triangle QPO is `9/8` of the area of the parallelogram ABCD
Which of the following statement is correct?
In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

Construct a parallelogram POUR in which, PO = 5.5 cm, OU = 7.2 cm and ∠O = 70°.
