1) Line segment \( A E \) is bisected at point \( B \). Line segment \( B E \) is bisected at point \( C \) Line segment \( C E \) is bisected at point \( D \). Segment \( D E \) is 3.25 units long. How long is segment \( A E \) ? \( A E=26 \) units

To find the length of segment \( A E \), we can work backwards from the information given about the segments being bisected. 1. **Segment \( D E \)** is given as 3.25 units long. 2. Since \( C E \) is bisected at point \( D \), this means that \( D E \) is half of \( C E \). Therefore, we can find \( C E \): \[ C E = 2 \times D E = 2 \times 3.25 = 6.5 \text{ units} \] 3. Next, since \( B E \) is bisected at point \( C \), we can find \( B E \): \[ B E = 2 \times C E = 2 \times 6.5 = 13 \text{ units} \] 4. Finally, since \( A E \) is bisected at point \( B \), we can find \( A E \): \[ A E = 2 \times B E = 2 \times 13 = 26 \text{ units} \] Thus, the length of segment \( A E \) is indeed \( 26 \) units.