Geometry

Question Analysis:
This question combines algebra with a geometric condition.
The main focus is determining when two opposite sides are both parallel and congruent, making the quadrilateral a parallelogram.

Key Concept Explanation:
A quadrilateral is a parallelogram if one pair of opposite sides is both parallel (given) and congruent.
We set the side lengths equal: WX = YZ → 4x − 5 = 2x + 7

Step-by-Step Solution:
Set the expressions equal: 4x − 5 = 2x + 7
Subtract 2x from both sides: 2x − 5 = 7
Add 5 to both sides: 2x = 12
Divide by 2: x = 6

Common Mistakes:
Algebra errors when solving...