Question

Ebony 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?

Option 1: segment eg and segment om
Option 2: ∠efg and ∠onm
Option 3: segment nm and segment fg
Option 4: ∠egf and ∠omn

Answer 1

Ebony would need to compare the angles ∠egf and ∠omn to make sure the triangles are congruent by ASA.

Step-by-step explanation:

In order to make sure the triangles are congruent by ASA (Angle-Side-Angle) postulate, Ebony would need to compare ∠egf and ∠omn. ASA postulate states that if two angles of one triangle are congruent to two angles of another triangle, and the included sides are congruent, then the triangles are congruent.