1, and the opposite sides are parallel and equal.
The opposite sides of a parallelogram are parallel and equal, and the two opposite sides are parallel and equal in length. This parallelism makes the parallelogram have a special symmetry, and when folded diagonally, the two sides can completely overlap.
2. Diagonal lines are equal
Diagonal angles of parallelogram are equal. This means that the two opposite corners are equal, which makes the parallelogram visually give people a sense of balance.
3. Divide diagonally.
Diagonal bisection of parallelogram. This is because in a parallelogram, two opposite sides are parallel, and two diagonal lines just divide the opposite sides into two equal parts, so the diagonal lines divide the parallelogram into two congruent triangles.
4 abstract
Parallelogram is central symmetry. This means that the parallelogram rotates 180 degrees around its center and looks exactly the same as its original position. This property makes parallelogram widely used in design.
To sum up, the characteristics of parallelogram are that its opposite sides are parallel and equal, its diagonal lines are equal, its diagonal lines are equally divided, and its center is symmetrical. These characteristics make parallelogram of great significance in geometry and practical application.
Characteristics and application of parallelogram
1, determination of parallelogram
It is the reverse application of parallelogram property, which can determine whether a quadrilateral is a parallelogram. According to the decision theorem, a quadrilateral is a parallelogram if two groups of opposite sides are parallel or equal, or diagonal lines are equally divided.
2. Calculation of parallelogram
The area calculation of parallelogram is also an important part. The area of a parallelogram can be calculated by multiplying the base by the height. Knowing the diagonal length of parallelogram, we can calculate the area with Helen formula.
3. Application of parallelogram
It is widely used. In daily life, parallelogram is widely used in architectural design, decoration design, traffic signs and so on. In the field of mathematics, parallelogram is also used to solve various geometric problems.
4. parallelogram theorem
The theorem of parallelogram is also very useful. Diagonal bisection of parallelogram. The diagonals of parallelogram are equal; Complementary adjacent angles of parallelogram, etc. These theorems can better understand and apply parallelogram.