Question

nt EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?
segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMNEbony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segment EF ≅ segment ON and ∠MON ≅ ∠GEF. What would Ebony need to compare in order to make sure the triangles are congruent by ASA?

segment EG and segment OM
∠EFG and ∠ONM
segment NM and segment FG
∠EGF and ∠OMN

Answer 1

Answer:

Ebony need to compare ∠EFG and ∠ONM

Step-by-step explanation:

we know that

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent by ASA

In this problem

EF ≅ ON ----> the included side

To prove congruence by ASA, of triangles EFG and ONM, the corresponding angles of the included side must be congruent

The corresponding angles of the included side are

∠MON and ∠GEF

and

∠EFG and ∠CNM

so

∠MON ≅ ∠GEF  ----> given problem

and

∠EFG ≅ ∠CNM

therefore

Ebony need to compare ∠EFG and ∠ONM

Both angles must be congruent, to prove that triangles EFG and ONM are congruent by ASA