write all the various kind of quadrilaterals with their properties.....
Answers
Hey mate Here is ur answer!!
Quadrilateral: A simple closed figure formed by four line segments is called Quadrilateral.
There are many types :
1. Trapezium:
A quadrilateral whose one pair of opposite sides are parallel, is called a trapezium.
Property: One pair of opposite sides are parallel.
2. Parallelogram:
A parallelogram is a quadrilateral whose opposite sides are parallel.
Properties :
1. A diagonal of a parallelogram divides it into two congruent triangles .
2. In a parallelogram, opposite sides are equal.
3. In a parallelogram opposite angles are equal.
4. In a parallelogram the diagonals bisect each other.
5. In a quadrilateral, if opposite sides are equal , it is a parallelogram.
6. In a quadrilateral, if opposite angles are equal , it is a parallelogram.
7. If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a parallelogram.
3. Rectangle:
A parallelogram whose each angle is equal to 90 , is called a rectangle.
Properties:
1. All the properties of a parallelogram.
2. Each angle is a right angle.
3. Diagonals are equal.
4. Square :
A quadrilateral whose all sides are equal and each angle is equal to 90 is called a square.
Properties:
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect each other.
4. Diagonals are perpendicular to each other.
5. Each of the angles is a right angle.
6. Diagonals are equal.
5. Rhombus:
A parallelogram having all sides equal is called a rhombus.
Properties:
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect each other.
4. Diagonals are perpendicular the each other.
6. Kite :
A quadrilateral with exactly two pairs of equal consecutive sides.
Properties:
1. The diagonals are perpendicular to one another.
2. The diagonals are not of equal length.
3. One diagonal bisects the other .
4. Shorter diagonal is bisected by the longer diagonal.
5. Diagonals intersect at right angles.
HOPE THIS HELPS U PLEASE MAKE ME AS A BRAINLIEST
Answer:
Quadrilateral: A simple closed figure formed by four line segments is called Quadrilateral.
There are many types :
1. Trapezium:
A quadrilateral whose one pair of opposite sides are parallel, is called a trapezium.
Property: One pair of opposite sides are parallel.
2. Parallelogram:
A parallelogram is a quadrilateral whose opposite sides are parallel.
Properties :
1. A diagonal of a parallelogram divides it into two congruent triangles .
2. In a parallelogram, opposite sides are equal.
3. In a parallelogram opposite angles are equal.
4. In a parallelogram the diagonals bisect each other.
5. In a quadrilateral, if opposite sides are equal , it is a parallelogram.
6. In a quadrilateral, if opposite angles are equal , it is a parallelogram.
7. If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a parallelogram.
3. Rectangle:
A parallelogram whose each angle is equal to 90 , is called a rectangle.
Properties:
1. All the properties of a parallelogram.
2. Each angle is a right angle.
3. Diagonals are equal.
4. Square :
A quadrilateral whose all sides are equal and each angle is equal to 90 is called a square.
Properties:
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect each other.
4. Diagonals are perpendicular to each other.
5. Each of the angles is a right angle.
6. Diagonals are equal.
5. Rhombus:
A parallelogram having all sides equal is called a rhombus.
Properties:
1. Opposite sides are equal.
2. Opposite angles are equal.
3. Diagonals bisect each other.
4. Diagonals are perpendicular the each other.
6. Kite :
A quadrilateral with exactly two pairs of equal consecutive sides.
Properties:
1. The diagonals are perpendicular to one another.
2. The diagonals are not of equal length.
3. One diagonal bisects the other .
4. Shorter diagonal is bisected by the longer diagonal.
5. Diagonals intersect at right angles.
Step-by-step explanation: