Geometry

Question Analysis:
This question combines congruency with algebra to solve for a variable.

Key Concept Explanation:
Corresponding sides of congruent triangles are equal, allowing us to set up an equation to solve for x.

Step-by-Step Solution:
Since ⊿ABC ≅ ⊿DEF, AB ≅ DE
Set expressions equal: 3x + 2 = 5x - 4
Solve:
Subtract 3x: 2 = 2x - 4
Add 4: 6 = 2x
Divide by 2: x = 3

Common Mistakes:
Setting up the wrong equation.
Making algebraic errors when solvin...