Subjects geometry

Quadrilateral Properties Dd911A

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1. Let's analyze the properties of each quadrilateral focusing on diagonals, angles, and parallel sides. 2. Square: All sides are equal, all angles are 90°, and diagonals are equal and perpendicular. 3. Rectangle: Opposite sides are equal, all angles are 90°, diagonals are equal but not necessarily perpendicular. 4. Parallelogram: Opposite sides are parallel and equal, opposite angles are equal, diagonals bisect each other but are not necessarily equal or perpendicular. 5. Rhombus: All sides are equal, opposite sides are parallel, diagonals are perpendicular and bisect each other, angles are not necessarily 90°. 6. Trapezium: One pair of opposite sides is parallel, angles adjacent to each parallel side are supplementary, diagonals are not necessarily equal or perpendicular. Summary: - Parallel sides: Square, Rectangle, Parallelogram, Rhombus, Trapezium (one pair) - Diagonals perpendicular: Square, Rhombus - Diagonals equal: Square, Rectangle - Angles 90°: Square, Rectangle This helps identify each shape by its diagonal, angle, and parallel side properties.