Question

HELP? Anyone?

Given: DG ≅ EG, GH ≅ GF.

Name the postulate or theorem you can use to prove ΔDGF ≅ ΔEGH.

A. SSS Postulate
B. SAS Postulate
C. ASA Postulate
D. AAS Theorem

Answer 1

Im pretty sure it is side angle side or B

Answer 2

Answer:B. SAS Postulate

Step-by-step explanation:

From the given picture, in ΔDGF and ΔEGH

DG ≅ EG, GH ≅ GF. [Given]

Also, ∠G ≅∠G    [Reflexive property]

Therefore, by SAS congruence postulate we have ,

ΔDGF ≅ ΔEGH

• SAS congruence postulate says that if two sides and the included angle of a  triangle are congruent to two sides and the included angle of other triangle, then the two triangles are said to be congruent.

Hence, the postulate we can use to prove ΔDGF ≅ ΔEGH is SAS congruence postulate.