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Construct a rectangle in which one of the diagonals divides the opposite angles into 45° and 45°. What do you observe about the sides?
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 opRead more
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°.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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Construct a rectangle one of whose sides is 4 cm and the diagonal is of length 8 cm.
Begin by constructing a rectangle with a base of 4 cm. Use a compass to create a circle centered at one endpoint of the base with a radius of 8 cm, representing the length of the diagonal. At the other endpoint, draw a perpendicular line. The intersection of this perpendicular with the circle providRead more
Begin by constructing a rectangle with a base of 4 cm. Use a compass to create a circle centered at one endpoint of the base with a radius of 8 cm, representing the length of the diagonal. At the other endpoint, draw a perpendicular line. The intersection of this perpendicular with the circle provides the fourth vertex of the rectangle. Connect the points to complete the rectangle, ensuring opposite sides are equal and angles are 90°.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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Construct a rectangle one of whose sides is 3 cm and the diagonal is of length 7 cm.
Begin by constructing a 3 cm base for the rectangle. Use a compass to draw a circle with a 7 cm radius from one endpoint, indicating the length of the diagonal. At the other endpoint of the base, draw a perpendicular line. The intersection of the perpendicular line with the circle will give the secoRead more
Begin by constructing a 3 cm base for the rectangle. Use a compass to draw a circle with a 7 cm radius from one endpoint, indicating the length of the diagonal. At the other endpoint of the base, draw a perpendicular line. The intersection of the perpendicular line with the circle will give the second vertex of the rectangle. Connect the points to form the rectangle, ensuring opposite sides are equal and angles measure 90°.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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Construct a rectangle that can be divided into 3 identical squares.
Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equRead more
Start by constructing a rectangle with the length three times its width. Divide the length into three equal sections, using a ruler for precise measurements. From these division points, draw perpendicular lines to the opposite side of the rectangle, ensuring that each section forms a square with equal side lengths. This process demonstrates how a rectangle can be subdivided into smaller, congruent squares, maintaining symmetry and proportionality in geometric design.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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Construct a square inside a rectangle with sides 8 cm and 4 cm such that the center of the square is the same as the center of the rectangle.
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square areRead more
Begin by constructing the rectangle with 8 cm and 4 cm sides. Draw its diagonals to locate the center point, where they intersect. Using the shorter side of the rectangle (4 cm) as the square’s side length, draw the square symmetrically around the center. Ensure that all four sides of the square are equal in length and that the center of the square coincides with the center of the rectangle. Verify alignment and balance for accuracy.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
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