Final answer:
To find the length of CD, we double the given length BD since line AB bisects CD at B, making CD equal to 10 3/4 inches.
Step-by-step explanation:
If line AB bisects CD at point B and BD equals 5 3/8 inches, to find the length of CD, we simply need to understand the concept of bisecting. Bisecting means to divide something into two equal parts, meaning that AD will also be 5 3/8 inches. Therefore, to find the length of CD, we will add the lengths of AD and BD together:
CD = AD + BD
CD = 5 3/8 inches + 5 3/8 inches
Since both lengths are the same, we can double the length of BD to find CD:
CD = 2 × (5 3/8 inches)
CD = 10 3/4 inches
The length of segment CD is 10 3/4 inches.