Congruence (geometry) - Congruence of Triangles

Congruence of Triangles

See also Solution of triangles.

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal in size.

If triangle ABC is congruent to triangle DEF, the relationship can be written mathematically as:

In many cases it is sufficient to establish the equality of three corresponding parts and use one of the following results to deduce the congruence of the two triangles.

Read more about this topic:  Congruence (geometry)

Famous quotes containing the words congruence of, congruence and/or triangles:

    As for butterflies, I can hardly conceive
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    the congruence of the complement is vain, if it exists.
    Marianne Moore (1887–1972)

    As for butterflies, I can hardly conceive
    of one’s attending upon you; but to question
    the congruence of the complement is vain, if it exists.
    Marianne Moore (1887–1972)

    If triangles had a god, they would give him three sides.
    —Charles Louis de Secondat Montesquieu (1689–1755)