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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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

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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]

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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


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)


Diagonals of a parallelogram ABCD intersect at OAL and CM are drawn perpendiculars to BD such that L and M lie on BD. Is AL = CM? Why or why not?


Which of the following statement is true for a rectangle? 

 Its diagonals are equal.


Which of the following statement is true for a rectangle? 

 Its diagonals bisect each other.


Which of the following statement is true for a rectangle? 

Its diagonals are perpendicular.


Which of the following statement are true for a square? 

 It has all its sides of equal length.


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?


Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.


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


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, if ∠BPC = 124°
Calculate:

  1. ∠BAP
  2. ∠ADP


For which of the following figures, all angles are equal?


A quadrilateral whose opposite sides and all the angles are equal is a ______.


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


In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does the bisector of ∠C divide AB?


PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S in the ratio 2:3. Find ∠TPQ.


Construct a rectangle whose one side is 3 cm and a diagonal equal to 5 cm.


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