Geometry

Question Analysis:
Tests basic recognition of AAS congruence when given two angles and a side.

Key Concept Explanation:
AAS requires:
Two pairs of congruent angles
One pair of congruent sides not between those angles

Step-by-Step Solution:
Given:
∠A ≅ ∠D (50°)
∠B ≅ ∠E (70°)
AC ≅ DF (8 cm)
AC is opposite ∠B → non-included side
All AAS conditions met

Option Analysis:
A) Incorrect - Only one side given
B) Incorrect - No included angle-side pair
C) Correct - Matches AAS exactly
D) Incorrect - Side not between ...