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

1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF

To Prove That ΔDEF ΔDGF By SSS What Additional Information Is Needed 1 DEF DGF 2 DFE DFG 3 DE DG 4 DG GF class=

Sagot :

Akposevictoridn

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

Recall:

  • If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.

In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:

EF ≅ GF

DF ≅ DF (both triangles share a common side)

We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.

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

Learn more about SSS Congruence Theorem on:

https://brainly.com/question/4280133

Sakshamisntgayidn

Answer:

C. DE ≅ DG

Step-by-step explanation:

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