Worksheet titled 'Reading a Standard Ruler' featuring eight problems where students measure blue bars against a ruler.

To solve the problem of determining the length of each blue line segment using the ruler provided in the image, we need to follow these steps:

Step-by-Step Solution:

1. Identify the starting and ending points of each blue line segment:
- The blue lines start and end at specific markings on the ruler.
- Measure the distance between the starting point (left edge of the blue line) and the ending point (right edge of the blue line).

2. Read the ruler accurately:
- The ruler is marked in inches, with smaller divisions representing fractions of an inch (e.g., 1/8 inch or 1/16 inch).
- Ensure you read the exact position of the line's endpoints.

3. Calculate the length for each segment:
- Subtract the starting point from the ending point to get the length.

Detailed Calculations for Each Segment:

#### Segment 1:
- Starting point: 74 inches
- Ending point: 76.5 inches
- Length: \( 76.5 - 74 = 2.5 \) inches

#### Segment 2:
- Starting point: 63 inches
- Ending point: 64.5 inches
- Length: \( 64.5 - 63 = 1.5 \) inches

#### Segment 3:
- Starting point: 53 inches
- Ending point: 55.5 inches
- Length: \( 55.5 - 53 = 2.5 \) inches

#### Segment 4:
- Starting point: 38 inches
- Ending point: 39.5 inches
- Length: \( 39.5 - 38 = 1.5 \) inches

#### Segment 5:
- Starting point: 69 inches
- Ending point: 71.5 inches
- Length: \( 71.5 - 69 = 2.5 \) inches

#### Segment 6:
- Starting point: 57 inches
- Ending point: 60.5 inches
- Length: \( 60.5 - 57 = 3.5 \) inches

#### Segment 7:
- Starting point: 66 inches
- Ending point: 68.5 inches
- Length: \( 68.5 - 66 = 2.5 \) inches

#### Segment 8:
- Starting point: 26 inches
- Ending point: 29.5 inches
- Length: \( 29.5 - 26 = 3.5 \) inches

Final Answers:

1. \( 2.5 \) inches
2. \( 1.5 \) inches
3. \( 2.5 \) inches
4. \( 1.5 \) inches
5. \( 2.5 \) inches
6. \( 3.5 \) inches
7. \( 2.5 \) inches
8. \( 3.5 \) inches

Boxed Final Answer:

\[
\boxed{2.5, 1.5, 2.5, 1.5, 2.5, 3.5, 2.5, 3.5}
\]