MATH SOLVE

2 months ago

Q:
# What additional information could be used to prove ΔEFG ΔE'F'G' using AAS? Check all that apply. EG = 12 and E'G' = 12 FG = 15 and F'G' = 15 EF = 10 and E'F'= 12 m∠G = 42° and m∠G' = 42° EG ≅ E'G

Accepted Solution

A:

By definition, congruent triangles should have all the corresponding sides and all the corresponding angles equal or congruent to each other. Thus, in the given question, all corresponding sides and angles of ΔEFG and ΔE'F'G' should be congruent. But, as we can see clearly it is given that, EF = 10 and E'F'= 12, thus, the corresponding sides EF and E'F' are not equal. Thus, we can never prove that:[tex] \Delta EFG\cong\Delta E'F'G' [/tex]Thus, [tex] \Delta EFG\ncong\Delta E'F'G' [/tex]