The rectangle with diagonals dividing angles into 45° each is a square. Since all angles are equal and the diagonals bisect the angles symmetrically, all sides are equal, confirming the square’s properties.
Class 6 Mathematics Chapter 8 Playing with Constructions question answer
Class 6 NCERT Ganita Prakash Chapter 8 Playing with Constructions
Begin by constructing a rectangle where the diagonal divides the opposite angles into 45° each. This construction reveals that the rectangle is, in fact, a square, as all sides must be equal for the angles to be 45°. The diagonal’s symmetry and the equal division of angles result in a shape where opposite sides are congruent. Thus, the rectangle with 45° angle divisions reveals the properties of a square, where all sides are equal and angles remain 90°.
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