AREA | Class 8 Mathematics Notes

Properties of Square

A square is a special type of rectangle where all four sides are equal in length, and all four angles are right angles (90°). Because a square is a rectangle, it inherits all properties of a rectangle, such as opposite sides being parallel and diagonals being equal and bisecting each other. Additionally, in a square, the diagonals are equal in length and they bisect each other at right angles (90°), making the diagonals perpendicular. This property distinguishes squares from rectangles. The diagonals of a square also bisect the angles from which they are drawn. The sum of the interior angles of a square is 360°, like all quadrilaterals. Squares are highly symmetrical and are often used in tiling, design, and construction due to their uniformity. Understanding these properties helps in calculating area, perimeter, and diagonal lengths accurately. The square is also a rhombus with right angles, combining properties of both shapes.

📊 Diagram: The diagram shows a square ABCD with all sides equal and all angles marked as 90°. Diagonals AC and BD are drawn, intersecting at point O at right angles, showing that they bisect each other perpendicularly.

🧪 Activity: Activity: Students draw a square on graph paper and measure the diagonals to verify that they are equal and intersect at right angles.

🔗 Connection: This section prepares students for the next section on area and perimeter formulas of rectangles and squares.