हिंदी

State with reason whether the following statement is ‘true’ or ‘false’. Every parallelogram is a rectangle.

Advertisements
Advertisements

प्रश्न

State with reason whether the following statement is ‘true’ or ‘false’.

Every parallelogram is a rectangle.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Reason: 

If all angles of a quadrilateral are right angles, then it is a rectangle. It is not necessary for all angles of a parallelogram to be right angles. Therefore, not every parallelogram is a rectangle. 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Quadrilaterals - Practice Set 5.3 [पृष्ठ ६९]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 5 Quadrilaterals
Practice Set 5.3 | Q 5. (vi) | पृष्ठ ६९

संबंधित प्रश्न

Explain why a rectangle is a convex quadrilateral.


ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you)


In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.


The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.

 


In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not? 

 

 

 


In Fig. 17.29, suppose it is known that DE = DF. Then, is ΔABC isosceles? Why or why not?


Which of the following statement is true for a rectangle? 

 It has all its sides of equal length.


Which of the following statement is true for a rectangle?

Its diagonals are perpendicular and bisect each other.


Fill in the blank in the following, so as to make the statement true: 

A rectangle is a parallelogram in which .....


Fill in the blank of the following, so as to make the statement true: 

A square is a rectangle in which .....


A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular?


Diagonals of a rectangle ABCD intersect at point O. If AC = 8 cm then find BO and if ∠CAD =35°  then find ∠ACB.


ABCD is a rectangle whose diagonals AC and BD intersect at O. If ∠OAB = 46°, find ∠OBC


If the adjacent angles of a parallelogram are equal, then the parallelogram is a ______.


A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90°. Then PQRS is a ______.


Every rectangle is a trapezium.


A playground is in the form of a rectangle ATEF. Two players are standing at the points F and B where EF = EB. Find the values of x and y.


Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x – 8.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×