Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
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To prove the SSS (Side-Side-Side) congruence rule, we need to show that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent. Here’s a step-by-step solution:
### Step 1: Define the Triangles
Let triangle \( PQR \) and triangle \( XYZ \) be given such that:
- \( PQ = XY \)
- \( QR = YZ \)
- \( PR = XZ \)
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