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Is it possible to construct a 4-sided figure in which all the angles are equal to 90° but opposite sides are not equal?

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No, it is impossible. A four-sided figure with all angles measuring 90° must have equal opposite sides. Unequal opposite sides would distort the shape, failing to satisfy the properties of rectangles or squares.

class 6 Mathematics Textbook Chapter 8 question answer

class 6 Mathematics Chapter 8 Playing with Constructions solutions

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  1. It is not possible to construct a four-sided figure with all angles equal to 90° but opposite sides unequal. By definition, any quadrilateral with four right angles is either a rectangle or a square. Both require opposite sides to be equal and parallel. If opposite sides are unequal, the angles will no longer remain 90°, and the shape cannot satisfy the required properties. This impossibility highlights the strict definitions governing geometric figures like rectangles and squares.

    For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
    https://www.tiwariacademy.com/ncert-solutions/class-6/maths/

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