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The condition of changing sides

2026-01-31 09:24
2026-01-31 14:14

There were several common conditions for converting sides and angles in triangle congruence: 1. **"Edge"(SSS)**: If the three edges of two triangularsare equal, then the two triangularsare congruent. This was a basic condition that did not require the participation of the angle. However, in a sense, it was to fix the relationship between the three sides to determine the congruence of the triangle. There was no direct conversion between the sides and the angle in this judgment. 2. **"Corners and Angles"(ASA)**: If the two corners and their edges are equal, then the two triangulations are congruent. The emphasis here was on the two corners and the edge between the two corners. It was a specific combination of corners and edges to determine congruence. 3. **"Angular Edge"(AAS)**: When two of the two corners of a triangle are equal to the opposite side of one of the corners, the two triangulations are congruent. It could be seen as first determining two angles, then according to the sum of the internal angles of the triangle being 180°, the third angle was also determined. In addition, an opposite side was equal to realize the triangle congruence judgment. It was a combination judgment of angles and sides. 4. **"Corner Edge"(SSS)**: If the two sides and their angles are equal, then the two triangulations are congruent. This was the relationship between the two sides and their angles. It was an important combination of sides and angles to determine congruence. 5. ** Right angle side and oblique side (TL)**: Only applicable to right triangle. When the oblique side and the right angle side of two right triangle are equal, the two right triangle are congruent. It was the special relationship between the sides of a right triangle (which implied the right angle) to determine the congruence. For a general triangle, if the general expression of "side for angle, angle for side" did not conform to the above specific combination of sides and angles, it could not be determined that the triangle was congruent or similar. For example,"edges and corners" could not be used to determine the congruence of a triangle under normal circumstances (except for special cases such as right angle, obtuse angle, acute angle, and the opposite side being larger than the adjacent side). Similarly, for similar triangle determination, similar combinations that did not meet the correct edge and angle combination relationship could not be determined. The novel "Ledge" is equally exciting. Everyone is welcome to click and read it!

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