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  1. When a square is rotated, it remains a square because its intrinsic properties are preserved. A square is defined by having four equal sides and four right angles (90°). Since rotation is a rigid transformation that does not change side lengths or angles, all sides remain equal and every angle staysRead more

    When a square is rotated, it remains a square because its intrinsic properties are preserved. A square is defined by having four equal sides and four right angles (90°). Since rotation is a rigid transformation that does not change side lengths or angles, all sides remain equal and every angle stays at 90°. Therefore, even when rotated, the square maintains its defining characteristics.

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  2. Both squares and rectangles have four right angles (each = 90°) and opposite sides that are equal. For a rectangle with sides L and W, we have:   L₁ = L₃ and L₂ = L₄  (1) Since a square is a rectangle with all sides equal, it also satisfies (1) along with having all right angles. Thus, the propertyRead more

    Both squares and rectangles have four right angles (each = 90°) and opposite sides that are equal. For a rectangle with sides L and W, we have:

      L₁ = L₃ and L₂ = L₄  (1)

    Since a square is a rectangle with all sides equal, it also satisfies (1) along with having all right angles. Thus, the property true for both squares and rectangles is that opposite sides are equal and all angles are 90°.

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  3. A rectangle has four right angles, each measuring 90°. Therefore, the sum of the angles is: 90° + 90° + 90° + 90° = 360°. Click here for more: https://www.tiwariacademy.com/ncert-solutions/class-6/maths/

    A rectangle has four right angles, each measuring 90°. Therefore, the sum of the angles is: 90° + 90° + 90° + 90° = 360°.

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  4. A curve with all points at an equal distance from a fixed center is defined as a Circle. This is because every point (x, y) on the circle satisfies the equation:   (x − x₀)² + (y − y₀)² = r² where (x₀, y₀) is the center and r is the constant distance (radius) from the center to any point on the circRead more

    A curve with all points at an equal distance from a fixed center is defined as a Circle. This is because every point (x, y) on the circle satisfies the equation:

      (x − x₀)² + (y − y₀)² = r²

    where (x₀, y₀) is the center and r is the constant distance (radius) from the center to any point on the circle.

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  5. -10 is the farthest to the left because on a number line, numbers with lower (more negative) values are positioned further to the left. Since:   -10 < -5 < 0 < 10 -10 is the smallest number and thus appears furthest left. Click here for more: https://www.tiwariacademy.com/ncert-solutions/clRead more

    -10 is the farthest to the left because on a number line, numbers with lower (more negative) values are positioned further to the left. Since:

      -10 < -5 < 0 < 10

    -10 is the smallest number and thus appears furthest left.

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    https://www.tiwariacademy.com/ncert-solutions/class-6/maths/

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