Question

1. which postulate or theorem can be used to prove that \\( \triangle a b c \cong \triangle a d c \\)?

a. aas
b. asa
c. sas
d. sss
e. none of these

Explanation:

Step1: Identify the corresponding sides

In \(\triangle ABC\) and \(\triangle ADC\), \(AB = AD\), \(BC = DC\), \(AC=AC\) (common side).

Step2: Apply the congruence postulate

Since all three pairs of corresponding sides are equal, we use the SSS (Side - Side - Side) postulate.

Answer:

D. SSS