Question

which postulate or theorem proves that \\( \triangle cfe \\) and \\( \triangle dfe \\) are congruent?

sas congruence postulate
asa congruence postulate
sss congruence postulate
aas congruence theorem

Explanation:

Step1: Identify corresponding sides

From the figure, \(CF = DF\) (marked with one tick), \(CE=DE\) (marked with one tick), and \(FE = FE\) (common side).

Step2: Apply congruence postulate

Since we have three pairs of corresponding sides equal (\(CF = DF\), \(CE = DE\), \(FE=FE\)), we use the SSS (Side - Side - Side) Congruence Postulate.

Answer:

SSS Congruence Postulate