Question

Two triangles have two same angle measures and one same included side measure. Are these triangles congruent?

• A. Yes, both the triangles are congruent to each other.
• B. No, the triangles are not congruent.
• C. Cannot be determined.
  

Answer 1

The correct option is A Yes, both the triangles are congruent to each other.


In $△ABC$ and $△DEF$,

• $\angle B=\angle F$,
• $\angle C=\angle E$, and
• the included side, $BC=EF$

$\therefore$ These triangles are congruent by $\text{Angle Side Angle (ASA)}$ property.