Similar triangles's Judgment Theorem
Decision Theorem 1: If two angles of a triangle are equal to two angles of another triangle, then the two triangles are similar. In short, two angles are equal and two triangles are similar. )(AA)
Decision Theorem 2: Two triangles are similar if their two corresponding sides are proportional and the included angles are equal. (Brief description: The two sides are proportional and the included angle is equal, and the two triangles are similar. )(SAS)
Decision Theorem 3: Two triangles are similar if their corresponding three sides are proportional. In short, three sides are proportional and two triangles are similar. )(SSS)
Extended data
Similar triangles Theorem Inference
Inference 1: Two isosceles triangles with equal top or bottom angles are similar.
Inference 2: waist and bottom are similar to two isosceles triangles in proportion.
Inference 3: Two right-angled triangles with equal acute angles are similar.
Inference 4: Two right triangles divided by the height on the hypotenuse are similar to the original triangle.
Inference 5: If the two sides of a triangle and the median line of either side of the triangle are proportional to the corresponding parts of another triangle, then the two triangles are similar.
Baidu Encyclopedia-Judgment Theorem of Similar Triangle