Geometry

Question Analysis:
This question involves the properties of a trapezoid, specifically focusing on the midsegment (median) of a trapezoid.
The main focus is on applying the formula for the length of the midsegment to find a missing base length.

Key Concept Explanation:
In a trapezoid, the midsegment is the segment that connects the midpoints of the non-parallel sides.
It is parallel to the bases and its length is the average of the lengths of the two bases.

Step-by-Step Solution:
We are given:
Midsegment = 14 units
One base AB = 10 units
We need to find the other base CD = x
Using the formula: 14 = 1/2(10 + x)
Multiply both sides by 2: 28 = 10 + x
Subtract 10 from both sides: x = 18

Common Mistakes:
Confusing which side is a base vs. a leg
Forgetting to multiply or divide b...