Geometry

Question Analysis:
This question is diagram-based in context.
The main focus is on identifying when a quadrilateral becomes a parallelogram using one pair of opposite sides.

Key Concept Explanation:
If one pair of opposite sides is already parallel, then making them also congruent is enough to prove the figure is a parallelogram.

Step-by-Step Solution:
Given AB ∥ CD, we set the side lengths equal: 3x − 2 = x + 6
Solve the equation:
Subtract x: 2x − 2 = 6
Add 2: 2x = 8
Divide by 2: x = 4

Common Mistakes:
Assuming equal sides without solvin...