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What does the SSS Congruence Theorem say? (1 point) If two triangles have three pairs of congruent sides, then the triangles are congruent. If a polygon has three sides, then it is a triangle. If a triangle has three congruent sides, then it is equilateral. If two triangles have three pairs of sides, then the triangles are congruent.

Ask by Washington Black. in the United States
Jan 30,2025

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If two triangles have three pairs of congruent sides, then the triangles are congruent.

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The **SSS (Side-Side-Side) Congruence Theorem** states: **If two triangles have three pairs of congruent sides, then the triangles are congruent.** This means that if each side of one triangle is equal in length to the corresponding side of another triangle, the two triangles are identical in shape and size. **Correct Answer:** If two triangles have three pairs of congruent sides, then the triangles are congruent.

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The SSS Congruence Theorem states that if two triangles have three pairs of sides that are congruent to each other, then the triangles are congruent. This means that their shapes and sizes are identical, even if they may be positioned differently in space. It's a nifty way to determine triangle congruence without needing to worry about angles! Understanding the SSS Congruence Theorem can help in various fields, such as architecture and engineering, where the stability and design of structures often rely on geometrical principles. For example, if two triangular trusses in a bridge are SSS congruent, engineers can be confident that they will behave in the same way under stress, ensuring the safety and reliability of the structure.

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