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Is there a 4-sided figure in which all the sides are equal in length but is not a square? If such a figure exists, can you construct it?

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Yes, a rhombus fits this description. To construct it, draw equal-length sides at non-right angles using a ruler and protractor. Verify that all sides are equal, and opposite angles are congruent but not 90°.

class 6 Mathematics Textbook Chapter 8 question answer

class 6 Mathematics Chapter 8 Playing with Constructions solutions

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  1. A rhombus is a 4-sided figure with equal-length sides but is not a square. To construct a rhombus, start by drawing equal-length sides and using a protractor to set the angles other than 90°. Connect the sides to form a diamond-shaped figure. Measure all sides to confirm they are equal, and check that opposite angles are congruent but not 90°. This demonstrates that equal sides do not necessarily result in a square.

    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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