Harrington Mcguire
10/28/2023 · Senior High School

Define congruent triangles(SSS criterion) baserve the table given below. Find the re

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**Congruent Triangles and the SSS Criterion** **Definition:** Two triangles are **congruent** if all their corresponding sides and angles are equal. This means one triangle can be exactly superimposed onto the other through rotations, reflections, or translations. **SSS Criterion (Side-Side-Side):** If three sides of one triangle are equal in length to three sides of another triangle, the triangles are congruent. For example, if: - \( AB = DE \) - \( BC = EF \) - \( CA = FD \) Then, \( \triangle ABC \cong \triangle DEF \) by the SSS Criterion. **Example:** Given: | Triangle \( ABC \) | Triangle \( DEF \) | |--------------------|--------------------| | \( AB = 5 \) cm | \( DE = 5 \) cm | | \( BC = 7 \) cm | \( EF = 7 \) cm | | \( CA = 9 \) cm | \( FD = 9 \) cm | Since all corresponding sides are equal, \( \triangle ABC \cong \triangle DEF \) by SSS. **Finding Missing Information:** Once congruence is established using SSS, corresponding angles and sides are equal. Use this to find any missing angles or sides. **Note:** If you provide a specific table or more details, I can offer a more precise solution.

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