To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF≅∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF

3

Both triangles share the side in the middle, and the orange lines are markings that indicate those two sides of the triangles are equal length.

But SSS = side side side, meaning all 3 sides of both triangles must be equal to the side measurements of the opposite triangle. You have to chose an answer that shows congruence(equal value) on the last side of both triangles.

The last sides of each triangle are the segments DE and DG, so you choose the answer that sets DE = DG, choice 3.

Akposevictorid Akposevictorid · Answer 2

The additional information needed to prove that ΔDEF ≅ ΔDGF by SSS is: 3. DE ≅ DG

What is the SSS Congruence Theorem?

SSS stands for side-side-side congruence theorem.
SSS Congruence Theorem, states that if two triangles have three congruent sides that correspond to each other, then both triangles can be proven to be congruent to each other.

Thus, ΔDEF and ΔDGF have two known congruent sides:

EF ≅ FG
DF ≅ DF (reflexive property)

Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by SSS is: 3. DE ≅ DG

Learn more about SSS on:

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