The length of XY changes depending on the placement of X and Y. If the points are aligned diagonally across the rectangle, XY matches the length of AB. When X and Y are closer, the diagonal distance XY becomes shorter than AB. Use a ruler to measure and confirm these variations. This comparison highRead more
The length of XY changes depending on the placement of X and Y. If the points are aligned diagonally across the rectangle, XY matches the length of AB. When X and Y are closer, the diagonal distance XY becomes shorter than AB. Use a ruler to measure and confirm these variations. This comparison highlights how point positions within a rectangle influence geometric relationships, demonstrating the versatility of rectangular properties in problem-solving.
Start by drawing a rectangle with the length three times its width, ensuring proportional dimensions. Divide the longer side into three equal sections using a ruler and draw perpendicular lines from these points to the opposite side. Verify that each section forms a square by ensuring all sides areRead more
Start by drawing a rectangle with the length three times its width, ensuring proportional dimensions. Divide the longer side into three equal sections using a ruler and draw perpendicular lines from these points to the opposite side. Verify that each section forms a square by ensuring all sides are equal and angles are 90 degrees. This construction demonstrates how rectangles can be subdivided into identical squares, emphasizing proportionality and symmetry in geometric design.
To create this rectangle, ensure its length is double its width. Draw the rectangle using a ruler, and divide the longer side into two equal parts. From these division points, draw perpendiculars to the opposite side, forming two squares. Confirm that both squares are identical by measuring their siRead more
To create this rectangle, ensure its length is double its width. Draw the rectangle using a ruler, and divide the longer side into two equal parts. From these division points, draw perpendiculars to the opposite side, forming two squares. Confirm that both squares are identical by measuring their side lengths and angles. This construction highlights geometric proportionality, showing how rectangles with specific dimensions can be partitioned into equal squares.
Start by constructing a rectangle with 8 cm and 4 cm sides. Draw its diagonals to find the center point where they intersect. Using the shorter side (4 cm) as the square’s side length, draw the square centered at the intersection point. Verify that all sides of the square are equal, and ensure it isRead more
Start by constructing a rectangle with 8 cm and 4 cm sides. Draw its diagonals to find the center point where they intersect. Using the shorter side (4 cm) as the square’s side length, draw the square centered at the intersection point. Verify that all sides of the square are equal, and ensure it is symmetrically placed within the rectangle. This method demonstrates precision in centering geometric figures within larger shapes.
Begin by constructing a square with equal sides and 90° angles. Use a compass to draw circular holes within the square. Place the compass tip at specific points along the sides or corners to ensure uniform spacing. Adjust the radius to keep all holes identical in size. This process creates a symmetrRead more
Begin by constructing a square with equal sides and 90° angles. Use a compass to draw circular holes within the square. Place the compass tip at specific points along the sides or corners to ensure uniform spacing. Adjust the radius to keep all holes identical in size. This process creates a symmetrical pattern of holes that enhances the square’s design. Verify alignment and consistency to ensure precision and balance in the construction.
How does the length XY compare to the length of AB?
The length of XY changes depending on the placement of X and Y. If the points are aligned diagonally across the rectangle, XY matches the length of AB. When X and Y are closer, the diagonal distance XY becomes shorter than AB. Use a ruler to measure and confirm these variations. This comparison highRead more
The length of XY changes depending on the placement of X and Y. If the points are aligned diagonally across the rectangle, XY matches the length of AB. When X and Y are closer, the diagonal distance XY becomes shorter than AB. Use a ruler to measure and confirm these variations. This comparison highlights how point positions within a rectangle influence geometric relationships, demonstrating the versatility of rectangular properties in problem-solving.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Construct a rectangle that can be divided into three identical squares.
Start by drawing a rectangle with the length three times its width, ensuring proportional dimensions. Divide the longer side into three equal sections using a ruler and draw perpendicular lines from these points to the opposite side. Verify that each section forms a square by ensuring all sides areRead more
Start by drawing a rectangle with the length three times its width, ensuring proportional dimensions. Divide the longer side into three equal sections using a ruler and draw perpendicular lines from these points to the opposite side. Verify that each section forms a square by ensuring all sides are equal and angles are 90 degrees. This construction demonstrates how rectangles can be subdivided into identical squares, emphasizing proportionality and symmetry in geometric design.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Construct a rectangle that can be divided into two identical squares.
To create this rectangle, ensure its length is double its width. Draw the rectangle using a ruler, and divide the longer side into two equal parts. From these division points, draw perpendiculars to the opposite side, forming two squares. Confirm that both squares are identical by measuring their siRead more
To create this rectangle, ensure its length is double its width. Draw the rectangle using a ruler, and divide the longer side into two equal parts. From these division points, draw perpendiculars to the opposite side, forming two squares. Confirm that both squares are identical by measuring their side lengths and angles. This construction highlights geometric proportionality, showing how rectangles with specific dimensions can be partitioned into equal squares.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Construct a rectangle of sides 8 cm and 4 cm. How will you construct a square inside, such that the center of the square is the same as the center of the rectangle?
Start by constructing a rectangle with 8 cm and 4 cm sides. Draw its diagonals to find the center point where they intersect. Using the shorter side (4 cm) as the square’s side length, draw the square centered at the intersection point. Verify that all sides of the square are equal, and ensure it isRead more
Start by constructing a rectangle with 8 cm and 4 cm sides. Draw its diagonals to find the center point where they intersect. Using the shorter side (4 cm) as the square’s side length, draw the square centered at the intersection point. Verify that all sides of the square are equal, and ensure it is symmetrically placed within the rectangle. This method demonstrates precision in centering geometric figures within larger shapes.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Construct a square with more holes.
Begin by constructing a square with equal sides and 90° angles. Use a compass to draw circular holes within the square. Place the compass tip at specific points along the sides or corners to ensure uniform spacing. Adjust the radius to keep all holes identical in size. This process creates a symmetrRead more
Begin by constructing a square with equal sides and 90° angles. Use a compass to draw circular holes within the square. Place the compass tip at specific points along the sides or corners to ensure uniform spacing. Adjust the radius to keep all holes identical in size. This process creates a symmetrical pattern of holes that enhances the square’s design. Verify alignment and consistency to ensure precision and balance in the construction.
For more NCERT Solutions for Class 6 Math Chapter 8 Playing with Constructions Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/