Question

Look at the figures. How can you prove the triangles are congruent?

It is not possible to determine if the triangles are congruent.


∆ABC ≅ ∆DEF by the SAS Postulate.


∆ABC ≅ ∆DEF by the SSS Postulate.

Answer 1

SAS

Explanation:

Consider triangles ABC and DEF. In these triangles,

• AC ≅ FD;
• AB ≅ DE;
• ∠A ≅ ∠D (included angle).

Thus, by SAS postulate, triangles ABC and DEF are congruent.

The Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.