Applying the definition of the diagonals of a parallelogram, the value of x is: D. 4.
The Diagonals of a Parallelogram
- A parallelogram is a quadrilateral that has two opposite sides that are parallel and congruent to each other.
- The diagonals of a parallelogram are equal and also bisect each other into equal segments.
Thus:
12 = 3x (congruent segments)
Divide both sides by 3
4 = x
x = 4
Therefore, applying the definition of the diagonals of a parallelogram, the value of x is: D. 4.
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