Worksheet on identifying congruent line segments with examples and exercises.

Problem Analysis:

The task is to identify which pairs of line segments are congruent. Two line segments are congruent if they have the same length. The problem provides five pairs of line segments, and we need to determine which pairs are congruent based on their lengths.

Step-by-Step Solution:

#### Pair 1:
- Line segments: \( \overline{UW} \) and \( \overline{XY} \)
- Observation: Both line segments appear to have the same length.
- Conclusion: These line segments are congruent.

#### Pair 2:
- Line segments: \( \overline{GH} \) and \( \overline{IJ} \)
- Observation: Both line segments appear to have the same length.
- Conclusion: These line segments are congruent.

#### Pair 3:
- Line segments: \( \overline{MN} \) and \( \overline{OP} \)
- Observation: The line segments do not appear to have the same length. \( \overline{MN} \) is longer than \( \overline{OP} \).
- Conclusion: These line segments are not congruent.

#### Pair 4:
- Line segments: \( \overline{AB} \) and \( \overline{CD} \)
- Observation: Both line segments appear to have the same length.
- Conclusion: These line segments are congruent.

#### Pair 5:
- Line segments: \( \overline{QR} \) and \( \overline{ST} \)
- Observation: Both line segments appear to have the same length.
- Conclusion: These line segments are congruent.

Final Answer:

The pairs of line segments that are congruent are:
1. \( \overline{UW} \) and \( \overline{XY} \)
2. \( \overline{GH} \) and \( \overline{IJ} \)
3. \( \overline{AB} \) and \( \overline{CD} \)
4. \( \overline{QR} \) and \( \overline{ST} \)

Thus, the answer is:
\[
\boxed{1, 2, 4, 5}
\]