Indicate which triangles are congruent. Be sure to have the...

Indicate which triangles are congruent. Be sure to have the correspondence of letters correct. (FIGURE CANNOT COPY)
$$\begin{array}{l}\triangle \mathrm{ERC} \cong ? \\\text { Why is } \overline{\mathrm{RC}} \cong \overline{\mathrm{RC}} ?\end{array}$$

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Key Concepts

Triangle Congruence

Triangle congruence refers to the concept that two triangles are identical in shape and size, meaning that their corresponding sides and angles are equal. Establishing triangle congruence typically involves criteria such as SSS, SAS, ASA, AAS, or HL, which dictate the necessary and sufficient conditions for two triangles to be considered congruent.

Corresponding Parts of Congruent Triangles

Once triangle congruence is established, the Corresponding Parts of Congruent Triangles (CPCTC) principle can be applied, which states that all the corresponding sides and angles in congruent triangles are congruent. This concept is crucial for proving further geometric properties and relations in problems involving congruent triangles.

Reflexive Property

The reflexive property in geometry asserts that any geometric figure, such as a segment, angle, or triangle, is congruent to itself. In the context of the problem, the segment RC is congruent to itself due to this property, serving as a fundamental step in congruence proofs.

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