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 thRead more

    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.

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  2. On a dot grid, draw at least three rotated squares and rectangles. Ensure the corners align with the dots for accuracy. Measure the sides of the squares to confirm they are equal and check that all angles are 90°. For the rectangles, verify that opposite sides are equal and angles measure 90°. ThisRead more

    On a dot grid, draw at least three rotated squares and rectangles. Ensure the corners align with the dots for accuracy. Measure the sides of the squares to confirm they are equal and check that all angles are 90°. For the rectangles, verify that opposite sides are equal and angles measure 90°. This exercise demonstrates the geometric properties of squares and rectangles under rotation, reinforcing the principles of symmetry, proportionality, and angle measurement.

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  3. Begin by drawing a 4 cm base. At both endpoints, construct perpendicular lines of 6 cm. Connect the endpoints of the perpendiculars to complete the rectangle. Measure the opposite sides to confirm they are equal in length. Check parallelism using a ruler and ensure all angles measure 90 degrees withRead more

    Begin by drawing a 4 cm base. At both endpoints, construct perpendicular lines of 6 cm. Connect the endpoints of the perpendiculars to complete the rectangle. Measure the opposite sides to confirm they are equal in length. Check parallelism using a ruler and ensure all angles measure 90 degrees with a protractor. Confirm that the rectangle satisfies the properties of equal opposite sides, parallelism, and right angles, ensuring accurate construction.

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  4. Start by constructing a 7 cm square as the base of the house. Then, construct an equilateral triangle with 7 cm sides on top of the square to form the roof. Use a compass to ensure the triangle is equilateral, with all angles equal. Verify that all sides are equal and the roof is symmetrically placeRead more

    Start by constructing a 7 cm square as the base of the house. Then, construct an equilateral triangle with 7 cm sides on top of the square to form the roof. Use a compass to ensure the triangle is equilateral, with all angles equal. Verify that all sides are equal and the roof is symmetrically placed. This geometric construction creates a balanced house shape, showcasing basic principles of symmetry, proportionality, and accurate measurements.

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  5. To calculate XY when X is 5 mm from A and Y is 3 cm from B, first measure the line segment using a ruler. Align the endpoints of X and Y carefully to ensure accuracy. Record the length in mixed units (centimeters and millimeters) for clarity. This process reinforces measurement skills and provides aRead more

    To calculate XY when X is 5 mm from A and Y is 3 cm from B, first measure the line segment using a ruler. Align the endpoints of X and Y carefully to ensure accuracy. Record the length in mixed units (centimeters and millimeters) for clarity. This process reinforces measurement skills and provides accurate results. Recheck the alignment if discrepancies arise to confirm the exact distance between the two points.

    For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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