The characteristics of parallelogram are as follows: 1, and the two groups of opposite sides of parallelogram are equal respectively; 2. The two diagonal lines of the parallelogram are equal respectively; 3. The diagonal of the parallelogram is equally divided; 4. Two opposite sides of a parallelogram are parallel to each other.

Definition and characteristics of parallelogram

Definition of parallelogram: Two groups of parallelograms with parallel opposite sides are called parallelograms. According to the properties of parallelogram, many characteristics of parallelogram can be deduced:

1, the parallelogram is a central symmetric figure, and the symmetric center is the intersection of two diagonals;

2. Divide the parallelogram into two congruent figures by the line passing through the diagonal intersection of the parallelogram;

3. If a quadrilateral is a parallelogram, then the adjacent angles of this quadrilateral are complementary;

4. If the quadrilateral is a parallelogram, then the two opposite corners of the quadrilateral are equal respectively;

5. If the quadrilateral is a parallelogram, then the two opposite sides of the quadrilateral are equal respectively;

6. If a quadrilateral is a parallelogram, then the two diagonals of this quadrilateral are equally divided;

7. The diagonal of the parallelogram divides the area of the parallelogram into four equal parts;

8. In a parallelogram, the included angle formed by two heights of different opposite sides, the smaller angle is equal to the smaller angle in the parallelogram, and the larger angle is equal to the larger angle in the parallelogram.