If AB = DE CA = FD angle B is congruent to angle E angle A is congruent to angle D , then ∆ABC and ∆DEF are congruent by the ASA criterion.
Accepted Solution
A:
1) the SAS criterion Two triangles are congruent if they have two sides and the angle determined by them respectively equal. AB = DE CA = FD (two sides equal) angle B is congruent to angle E angle A is congruent to angle D (angle determined by the two sides respectively equal) by the SAS criterion ∆ABC and ∆DEF are congruent
2) the ASA criterion Two triangles are congruent if they have two angles and the side common to them, respectively, equal. angle B is congruent to angle E angle A is congruent to angle D (two angles equal) AB = DE (the side common to the angles is equal) by the ASA criterion ∆ABC and ∆DEF are congruent
The answer is ∆ABC and ∆DEF are congruent by the SAS criterion and by the ASA criterion