Question

which two triangles are congruent by the sss theorem? complete the congruence statement.
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Explanation:

Step1: Match congruent side markings

• $\triangle QRS$: $QS$ (1 mark), $SR$ (2 marks), $RQ$ (3 marks)
• $\triangle YXZ$: $XZ$ (1 mark), $XY$ (2 marks), $ZY$ (3 marks)
• $\triangle GHI$: All sides have matching marks (2,3,3) (not all unique pairs)

Step2: Verify SSS congruence

SSS requires all three corresponding sides to be congruent. $\triangle QRS$ and $\triangle YXZ$ have 1, 2, 3 marked sides matching respectively, satisfying SSS.

Answer:

$\triangle QRS \cong \triangle YXZ$