Geometry

Question Analysis:
This question involves using algebra to ensure that diagonals bisect each other.
The main focus is on applying the definition of a parallelogram via diagonal bisection, using equations to find the correct value of x.

Key Concept Explanation:
In a parallelogram, the diagonals bisect each other.
That means AE = EC.

Step-by-Step Solution:
Set the two expressions equal: 2x − 1 = x + 3
Solve for x: Subtract x from both sides: x − 1 = 3
Add 1 to both sides: x = 4

Common Mistakes:
Forgetting to set AE = EC, and solving the wrong equation
Arithmetic errors while solving
Plugging in values instead of solving algebraically

Summary:
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