Geometry

Question Analysis:
This is another application of the “one pair of opposite sides” condition.
The main focus is solving for the unknown that makes opposite parallel sides also congruent.

Key Concept Explanation:
If one pair of opposite sides is known to be parallel, setting their lengths equal confirms the parallelogram.

Step-by-Step Solution:
Set the expressions equal:
6x - 4 = 3x + 8
Subtract 3x from both sides:
3x - 4 = 8
Add 4:
3x = 12
Divide by 3:
x = 4

Common Mistakes:
Not reading the word “parallel” in the ...