Similarity Proof Generator
Easily generate formal similarity proofs for triangles using Angle-Angle (AA), Side-Side-Side (SSS), or Side-Angle-Side (SAS) conditions. Just input the details and get a step-by-step proof!
Similarity Proof
Understanding Triangle Similarity
In geometry, two triangles are said to be similar if they have the same shape, but possibly different sizes. More formally, similarity means that the corresponding angles of the two triangles are congruent, and the ratios of the lengths of their corresponding sides are equal.
There are three main theorems to prove triangle similarity:
- AA (Angle-Angle) Similarity: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
- SSS (Side-Side-Side) Similarity: If the corresponding sides of two triangles are proportional, then the triangles are similar.
- SAS (Side-Angle-Side) Similarity: If two sides of one triangle are proportional to two sides of another triangle, and the included angles are congruent, then the triangles are similar.
This tool helps you generate formal proofs based on these theorems. Simply select the condition and provide the details about the triangles to see the step-by-step proof.