List the main properties of quadrilateral

1 answer

The main properties of a quadrilateral are:

1. Quadrilateral Definition: A quadrilateral is a polygon with four sides.

2. Sum of Angles: The sum of the interior angles of a quadrilateral is always 360 degrees.

3. Exterior Angles: The sum of the exterior angles of a quadrilateral is always 360 degrees.

4. Types of Angles: The angles inside a quadrilateral can be acute (less than 90 degrees), right (90 degrees), obtuse (greater than 90 degrees), or reflex (greater than 180 degrees).

5. Types of Quadrilaterals: There are various types of quadrilaterals, including rectangles, squares, parallelograms, trapezoids, rhombuses, and kites. Each type has specific properties and characteristics.

6. Diagonals: A quadrilateral has two diagonals, which are line segments connecting any two non-adjacent vertices. The diagonals of some quadrilaterals, such as rectangles and squares, are equal in length and bisect each other.

7. Opposite Sides: In a parallelogram, opposite sides are parallel and equal in length.

8. Opposite Angles: In a parallelogram, opposite angles are equal in measure.

9. Consecutive Angles: The sum of two consecutive angles in a quadrilateral is always 180 degrees.

10. Midpoint Property: In a quadrilateral, the line segment connecting the midpoints of two sides is parallel to the other two sides and equal in length to half of the sum of those two sides.