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AssignmentMultiple Choice

Triangle Congruence: ASA and AAS

Question 1 • AZ-Geometry A (MA201)

To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?

Answer
A
∠DEF ≅ ∠DGF
B
∠DFE ≅ ∠DFG
C
DE ≅ DG
D
DG ≅ GF

Explanation

The triangles share side DF, so DF ≅ DF. The order ΔDEF ≅ ΔDGF pairs DE with DG and EF with GF; the shared side supplies the third pair, DF with DF. Therefore, the additional information needed for SSS is DE ≅ DG, choice C.

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