Geometry

Question Analysis:
This question connects SAS congruence to area relationships, evaluating understanding of congruence implications.

Key Concept Explanation:
Congruence Definition: Identical shape and size
Area Implications:
Congruent triangles have equal corresponding bases and heights
Therefore, identical area calculations (½bh)
SAS Specifics: The area can be calculated using the congruent sides and included angle

Step-by-Step Solution:
Given SAS congruence:
AB = DE, AC = DF, ∠A = ∠D
Area formula application:
Area = ½ × AB × AC × sin(∠A)
All components are equal in both triangles
Conclusion:
Areas must be equal (1:1 ratio)

Common Mistakes:
Confusing cong...