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

Since, opposite sides of a parallelogram are equal.
∴ PO = RU = 5.5 cm, OU = RP = 7.2 cm
Steps of construction:
Step I: Draw PO = 5.5 cm.
Step II: Construct ∠POX = 70°.
Step III: With O as centre and radius OU = 7.2 cm, draw an arc.
Step IV: WIth U as centre and radius UR = 5.5 cm, draw an arc.
Step V: With P as centre and radius PR = 7.2 cm, draw an arc to cut the arc drawn in Step IV.
Step VI: Join PR and UR.
Hence, POUR is the required parallelogram.
APPEARS IN
संबंधित प्रश्न
The diagonal BD of a parallelogram ABCD bisects angles B and D. Prove that ABCD is a rhombus.
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.
In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2 AD.
Prove that:
(i) BP bisects angle B.
(ii) Angle APB = 90o.
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: RT bisects angle R
PQRS is a parallelogram. T is the mid-point of PQ and ST bisects ∠PSR.
Prove that: ∠RTS = 90°
ABCD is a parallelogram. The bisector of ∠BAD meets DC at P, and AD is half of AB.
Prove that: BP bisects ∠ABC.
In the Figure, ABCD is a rectangle and EFGH is a parallelogram. Using the measurements given in the figure, what is the length d of the segment that is perpendicular to `bar("HE")` and `bar("FG")`?
In the following figure, it is given that BDEF and FDCE are parallelograms. Can you say that BD = CD? Why or why not?

In the following figure, ABCD and AEFG are two parallelograms. If ∠C = 55º, determine ∠F.

