A rectangle’s diagonal length remains constant during rotation. Rotation does not alter the distance between opposite corners, ensuring the diagonals’ symmetry and their role in maintaining the rectangle’s properties. class 6 Mathematics Textbook Chapter 8 question answer class 6 Mathematics Chapter 8 ...
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Yes, a rotated rectangle remains a rectangle. Its defining properties—opposite sides equal and all angles 90 degrees—are preserved under rotation, ensuring the figure’s consistency regardless of orientation. class 6 Mathematics Textbook Chapter 8 question answer class 6 Mathematics Chapter 8 Playing with ...
When a rectangle’s diagonals intersect, they divide opposite angles into two equal parts. This symmetry ensures congruent angles, highlighting the consistent geometric relationships within the rectangle’s structure. class 6 Mathematics Textbook Chapter 8 question answer class 6 Mathematics Chapter 8 Playing with ...
Start with a central line of specified length. Use the compass to draw consecutive arcs of equal radius, alternating above and below the line. Adjust measurements to create identical and symmetrical waves. class 6 Mathematics Textbook Chapter 8 question answer class 6 ...
Diagonals in a square bisect each other at right angles, dividing the square into four congruent triangles. Their lengths are equal and can be calculated using the formula: diagonal = side × √2. Class 6 NCERT Ganita Prakash Chapter 8 Playing ...
To construct a rectangle, you need the lengths of two adjacent sides or one side and the diagonal. These measurements ensure accurate construction while maintaining equal opposite sides and 90-degree angles. Class 6 NCERT Ganita Prakash Chapter 8 Playing with Constructions class ...
No, a rectangle’s sides and diagonals cannot have the same length. The diagonals are always longer than the sides because they span across the rectangle, forming the hypotenuse of right triangles within it. Class 6 NCERT Ganita Prakash Chapter 8 Playing ...
The winning strategy is ensuring your moves always leave the opponent with numbers 18, 14, 10, 6, or 2. Control ensures you can always force the final move to reach 22. class 6 Mathematics Textbook Chapter 3 question answer class 6 Mathematics ...
For 100, dividing by 2 gives 50. Repeating this reduces it to 25, which becomes 76 (via 3n + 1). Following this path eventually leads to 1, validating the conjecture. class 6 Mathematics Textbook Chapter 3 question answer class 6 Mathematics Chapter ...
Powers of 2 always follow the Collatz Conjecture. Dividing them by 2 repeatedly reduces them to 1. For example, 8 becomes 4, then 2, then 1, showing the sequence holds for these numbers. Class 6 NCERT Ganita Prakash Chapter 3 Number ...