Quadrilateral Types & Their Properties

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Quadrilateral Types & Their Properties Quadrilateral Type Shape Properties Square 1. All the sides of the square are of equal measure. 2. The opposite sides are parallel to each other. 3. All the interior angles of a square are at 90 degrees (i.e., right angle). 4. The diagonals of a square are equal and perpendicular to each other. 5. The diagonals bisect each other. 6. The ratio of the area of incircle and circumcircle of a square is 1:2. Rectangle 1. The opposite sides of a rectangle are of equal length. 2. The opposite sides are parallel to each other. 3. All the interior angles of a rectangle are at 90 degrees. 4. The diagonals of a rectangle are equal and bisect each other. 5. The diameter of the circumcircle of a rectangle is equal to the length of its diagonal. Rhombus 1. All the four sides of a rhombus are of the same measure. 2. The opposite sides of the rhombus are parallel to each other. 3. The opposite angles are of the same measure. 4. The sum of any two adjacent angles of a rhombus is equal to 180 degrees. 5. The diagonals perpendicularly bisect each other. 6. The diagonals bisect the internal angles of a rhombus. Parallelogram 1. The opposite sides of a parallelogram are of the same length. 2. The opposite sides are parallel to each other. 3. The diagonals of a parallelogram bisect each other. 4. The opposite angles are of equal measure. 5. The sum of two adjacent angles of a parallelogram is equal to 180 degrees. Trapezium 1. A trapezium has two parallel sides and two non-parallel sides 2. The two adjacent sides of a trapezium are supplementary (180 degrees). 3. The diagonals of regular trapezium bisect each other. The ratio of bisection of diagonals is the same for both the diagonals. 4. The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium. 5. The sum of two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non-parallel sides is 180 degrees. Kite 1. The pair of adjacent sides of a kite are of the same length. 2. The larger diagonal of a kite bisect the smaller diagonal. 3. Only one pair of opposite angles are of the same measure. .

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