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(i) A parallelogram with a right angle is a rectangle. (ii) A rhombus with perpendicular diagonals is a square. (iii) If the diagonals of a parallelogram are equal, then it is a rectangle.

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(i) True: Adjacent angles sum to 180°, making every angle 90°.
(ii) False: Every rhombus has perpendicular diagonals; it needs a right angle to be a square.
(iii) True: Equal diagonals in a parallelogram ensure four right angles.

Cbse Class 9 Maths Ganita Manjari Part 2 Solutions
class 9 maths ganita manjari part 2 chapter 12 question answer

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1 Answer

  1. i) True: Consecutive interior angles are supplementary, so having one 90° angle forces all angles to equal 90°, forming a rectangle.
    (ii) False: Diagonals of every rhombus already intersect perpendicularly; it requires equal diagonals or one right angle to become a square.
    (iii) True: In any parallelogram with equal diagonals, opposite triangles are congruent by SSS, proving the internal angles are right angles.

     

    For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 12 Quadrilaterals Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-12/

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