Back to Explain triangle congruence criteria — Problem 1 · Task Set 8

Exercises: Triangle Congruence Criteria from Rigid Motions

Work through each section in order. For explanation problems, use complete sentences and reference rigid motions where relevant.

Grade 9·21 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-co-b-8

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Fluency Practice

Two triangles have the following known congruent parts: $\overline{AB} \cong \overline{DE}$ , $\angle A \cong \angle D$ , and $\overline{AC} \cong \overline{DF}$ . The angle $\angle A$ is between sides $\overline{AB}$ and $\overline{AC}$ . Which criterion guarantees the triangles are congruent?

SSS

ASA

SAS

SSA — two sides and a non-included angle