Understanding Quadrilaterals:

Definition of Quadrilateral:
A quadrilateral is a polygon with four sides, four angles, and four vertices. It is a closed figure formed by four line segments.

Types of Quadrilaterals:
1. Parallelogram: A quadrilateral with opposite sides parallel and equal in length.
2. Rectangle: A parallelogram with all angles equal to 90 degrees.
3. Square: A rectangle with all sides equal in length.
4. Rhombus: A parallelogram with all sides equal in length.
5. Trapezoid: A quadrilateral with at least one pair of parallel sides.
6. Kite: A quadrilateral with two pairs of adjacent sides equal in length.

Properties of Quadrilaterals:
- The sum of all interior angles of a quadrilateral is 360 degrees.
- Opposite angles of a parallelogram are equal.
- In a rectangle, diagonals are equal in length and bisect each other.
- A square has all properties of a rectangle and rhombus.
- The diagonals of a rhombus are perpendicular to each other.

Practice Exercise:
1. Find the missing angles in a quadrilateral given some angles.
2. Determine the type of quadrilateral based on given properties.
3. Calculate the area of different quadrilaterals using appropriate formulas.
4. Identify the properties of a given quadrilateral and prove them mathematically.
By practicing these exercises and understanding the properties of quadrilaterals, you can enhance your knowledge and problem-solving skills in geometry.