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

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प्रश्न

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

Every parallelogram is a rectangle.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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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. 

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Quadrilaterals - Practice Set 5.3 [पृष्ठ ६९]

APPEARS IN

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


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.


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 equal.


Which of the following statement is  true for a rectangle? 

All rectangles are squares.


Which of the following statement is true for a square?

It is a rectangle.


Which of the following statement  true for a square? 

 Its diagonals bisect each other at right angle.


The sides of a rectangle are in the ratio 4 : 5. Find its sides if the perimeter is 90 cm.


Find the length of the diagonal of a rectangle whose sides are 12 cm and 5 cm.


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?


Prove that quadrilateral formed by the intersection of angle bisectors of all angles of a parallelogram is a rectangle.


If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.


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


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?

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.


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