1, and the two angles respectively correspond to the similarity of two equal triangles.
2. Two triangles with proportional sides and equal included angles are similar.
3. Two triangles with three sides in proportion are similar.
4. Two right-angled triangles, whose right-angled sides are proportional to the hypotenuse, are similar.
5. Compare the two sides of a triangle with the two sides of another triangle. If the corresponding three groups of sides are the same, the triangles are similar.
Similar triangles refers to two triangles with equal corresponding angles and proportional corresponding sides. Similar triangles's properties and judgments have important applications in geometry. Similar triangles is an important concept in geometry, and its judgment and properties are widely used in solving practical problems.
Similar triangles's judgment is based on similar triangles's definition, and whether two triangles are similar is judged by comparing their corresponding angles and sides. Among them, the commonly used judgment methods are parallel line theorem, triangle corresponding angle equality theorem, triangle corresponding side ratio theorem and so on.
Advantages of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.
It is used everywhere in life. Nowadays, the society is an information society, and mathematical knowledge is used in financial management and computers. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning. Mathematics can cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.