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State with Reason Whether the Following Statement is ‘True’ Or ‘False’. Every rectangle is a parallelogram. - Geometry

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प्रश्न

State with Reason Whether the Following Statement is ‘True’ Or ‘False’.

Every rectangle is a parallelogram.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is True.

Reason:

All rectangle have the opposite pair of sides congruent and parallel and the diagonals bisect each other.

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  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. (iii) | पृष्ठ ६९

संबंधित प्रश्न

Name the quadrilaterals whose diagonals are equal


The shorter side of a parallelogram is 4.8 cm and the longer side is half as much again as the shorter side. Find the perimeter of the parallelogram.


Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.


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 bisect each other.


Which of the following statement is true for a square?

It is a rectangle.


The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.


Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.


Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.


ABCD is a rectangle, if ∠BPC = 124°
Calculate:

  1. ∠BAP
  2. ∠ADP


The following figure is a rectangle in which x: y = 3: 7; find the values of x and y.


Show that the bisectors of angles of a parallelogram form a rectangle


The interior angle made by the side in a parallelogram is 90° then the parallelogram is a


If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a ______.


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


A rectangular MORE is shown below:


Answer the following questions by giving appropriate reason.

  1. Is RE = OM?
  2. Is ∠MYO = ∠RXE?
  3. Is ∠MOY = ∠REX?
  4. Is ΔMYO ≅ ΔRXE?
  5. Is MY = RX?

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.


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