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  2. Congruence (geometry) - Wikipedia

    en.wikipedia.org/wiki/Congruence_(geometry)

    The two triangles on the left are congruent. The third is similar to them. The last triangle is neither congruent nor similar to any of the others. Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles.

  3. 5-Con triangles - Wikipedia

    en.wikipedia.org/wiki/5-Con_triangles

    In geometry, two triangles are said to be 5-Con or almost congruent if they are not congruent triangles but they are similar triangles and share two side lengths (of non-corresponding sides). The 5-Con triangles are important examples for understanding the solution of triangles. Indeed, knowing three angles and two sides (but not their sequence ...

  4. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    All pairs of congruent triangles are also similar, but not all pairs of similar triangles are congruent. Given two congruent triangles, all pairs of corresponding interior angles are equal in measure, and all pairs of corresponding sides have the same length. This is a total of six equalities, but three are often sufficient to prove congruence ...

  5. Corresponding sides and corresponding angles - Wikipedia

    en.wikipedia.org/wiki/Corresponding_sides_and...

    The orange and green quadrilaterals are congruent; the blue one is not congruent to them. Congruence between the orange and green ones is established in that side BC corresponds to (in this case of congruence, equals in length) JK, CD corresponds to KL, DA corresponds to LI, and AB corresponds to IJ, while angle ∠C corresponds to (equals) angle ∠K, ∠D corresponds to ∠L, ∠A ...

  6. File:Angle-angle-side triangle congruence.svg - Wikipedia

    en.wikipedia.org/wiki/File:Angle-angle-side...

    English: This diagram illustrates the geometric principle of angle-angle-side triangle congruence: Given triangle ABC and triangle A'B'C', triangle ABC is congruent with triangle A'B'C' if and only if angle CAB is congruent with C'A'B' and angle BCA is congruent with B'C'A' and BC is congruent with B'C'.

  7. AA postulate - Wikipedia

    en.wikipedia.org/wiki/AA_postulate

    In Euclidean geometry, the AA postulate states that two triangles are similar if they have two corresponding angles congruent.. The AA postulate follows from the fact that the sum of the interior angles of a triangle is always equal to 180°.