Question

using the sss congruence theorem. triangle def and triangle dgf are shown in the diagram. to prove that △def≅△dgf by sss, what additional information is needed? de≅dg dg≅gf ∠dfe≅∠dfg ∠def≅∠dge

Explanation:

Step1: Identify SSS requirement

SSS needs 3 congruent side pairs.

Step2: Common side

△DEF and △DGF share DF, so DF≅DF (reflexive).

Step3: Missing sides

Need DE≅DG and EF≅GF for SSS. Red X likely marks EF≅GF, so missing DE≅DG.

Answer:

DE ≅ DG