If an image of a triangle is congruent to the pre-image, it means that the two triangles have the same size and shape. This means that corresponding sides and angles of the two triangles are equal. Congruence between two triangles can be proven using different methods such as side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), or hypotenuse-leg (HL).
When two triangles are congruent, it implies that they are essentially the same triangle but may be positioned differently in space. Congruence is an important concept in geometry as it allows us to make comparisons between different shapes and figures based on their size and shape. Additionally, congruence can help us determine various properties of triangles and other geometric figures.
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