Question

Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!

Answer 1

Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side $\overline{BC}$ of ΔABC is congruent to side $\overline {EF}$ of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side $\overline{BC}$) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side $\overline {EF}$) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency