Answer:
C) Both apply
Step-by-step explanation:
The Side-Side-Side (SSS) Postulate states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.
On the given diagram, AC ≅ AD and BC ≅ ED. Given that AB ≅ AE, this means that all three sides of ΔABC are congruent to the corresponding sides of ΔAED. So, we can use SSS Postulate to prove ΔABC ≅ ΔAED.
The Side-Angle-Side (SAS) Postulate 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 the two triangles are congruent.
On the given diagram, AC ≅ AD and ∠CAB ≅ ∠DAE. Given that AB ≅ AE, this means that two sides and the included angle of ΔABC are congruent to the corresponding sides and the included angle ΔAED. So, we can use SAS Postulate to prove ΔABC ≅ ΔAED.
Therefore, we can use both SSS and SAS Postulates to prove that the triangles are congruent.
