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Side-Side-Side (SSS) Congruence Theorem

Side-Side-Side (SSS) Congruence Theorem

One-page printable reference

See It in Action

Two examples of the idea done right—and one common look-alike that is not right.

EXAMPLE

EXAMPLE

NON-EXAMPLE

Definition

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Key points:

  • All three corresponding sides must be congruent.

  • No angle information is needed—side lengths alone determine the triangle’s shape.

  • This is one of the strongest and most commonly used triangle congruence theorems.

Video


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