square
Definition: A square is a four-sided polygon with all sides of equal length and all angles of equal measure (90 degrees)
Definition: A square is a four-sided polygon with all sides of equal length and all angles of equal measure (90 degrees). In simpler terms, it is a shape with four equal straight sides and four equal right angles.
Properties:
1. Sides: A square has four equal sides, which means that all the sides are of equal length. If one side of a square has a length of “s”, then all the other sides will also have a length of “s”.
2. Angles: Each angle in a square is a right angle, measuring 90 degrees. This is because a square is a special type of rectangle, and all rectangles have right angles.
3. Diagonals: The diagonals of a square are equal in length and bisect each other at right angles. This means that the diagonal divides the square into two congruent right triangles.
4. Symmetry: A square has rotational symmetry of order 4, which means that it looks the same after rotating it by 90 degrees, 180 degrees, or 270 degrees. Additionally, it has mirror symmetry along its diagonals and vertical/horizontal lines of symmetry.
Formulas and calculations:
1. Perimeter: The perimeter of a square is calculated by adding up the lengths of all four sides. If “s” represents the length of one side, then the perimeter (P) can be calculated as P = 4s.
2. Area: The area of a square is calculated by multiplying the length of one side by itself. If “s” represents the length of one side, then the area (A) can be calculated as A = s^2.
Example:
Let’s say we have a square with a side length of 5 units. To find its perimeter, we use the formula P = 4s. Substituting in the given value, we get P = 4(5) = 20 units. Therefore, the perimeter of this square is 20 units.
To find its area, we use the formula A = s^2. Substituting in the given value, we get A = 5^2 = 25 square units. Therefore, the area of this square is 25 square units.
More Answers:
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