Answer:To write three pairs of line segments of equal lengths using the numbers 1, 2, 3, 4, 4, and 5, we can pair the segments as follows:1. *Pair 1*: Segmental length: 2 units and 4 units - Segment 1: Length = 2 units - Segment 2: Length = 4 units is not equal to Segment 1, so let's find another pair.2. *Pair 2*: Segmental length: 4 units and 4 units - Segment 1: Length = 4 units - Segment 2: Length = 4 units3. *Pair 3*: Segmental length: 1 unit and 5 units is not a pair, and neither is 2 and 3 or 1 and 2 or 3 and 5 directly without more context on how these numbers map to lengths. However, based on the numbers given and looking for pairs of equal lengths directly from the list (1, 2, 3, 4, 4, 5), the most straightforward pair besides the 4-unit segments would be challenging without assuming additional context or segments not directly listed. Given the direct numbers, one clear pair is the two segments of length 4 units each.Given the numbers and focusing on direct pairs:- One pair is clearly the two 4-unit segments.- Without additional context or assuming we can use each number only once for a different purpose or additional segments not listed, finding two more pairs that fit the exact format requested isn't straightforward based on equal lengths without more information on how these numbers are to be used (e.g., as lengths directly, or if they represent something else).Thus, based on the information and focusing on pairs of equal length directly from the numbers provided:1. Segment 1 = 4 units, Segment 2 = 4 units.Given the constraints and aiming for clarity, let's assume we're looking for theoretical pairs based on the numbers provided and the context of line segments having equal lengths:- If we were to imagine or create pairs based on hypothetical lengths or additional context, we'd need more information. However, the direct and clear pair from the given numbers is the two segments of 4 units each.For educational purposes and clarity, let's finalize with the pair we know:- Pair: 4 units and 4 units.If the task implies using the numbers to represent lengths in a more abstract or different manner than directly pairing equal numbers, additional context would be necessary to provide a precise answer. Given the direct approach and numbers, the 4-unit pair is the most straightforward example of equal lengths.