Question

In $△$ABC and $△$DEF, AB = FD and $\angle$A = $\angle$D, $\angle$C = $\angle$E. The two triangles are congruent.
Is this statement true or false?

• A. True
• B. False

Answer 1

The correct option is A

True

In the following diagram, AB=DF and $\angle$A = $\angle$D, $\angle$C = $\angle$E

The two triangles are congruent because two angles and a side of a triangle are equal to two angles and a side of another triangle.

Note: in the above case, AB and DF are not including sides, but, as the remaining two angles of one triangle are equal to the ones in the other triangle, it follows that the corresponding angles also will be equal.