1. **Problem Statement:** Classify the segments TD, TI, and JM in the given triangles based on the figure and markings. 2. **Key Definitions:** - *Perpendicular bisector:* A segment that is perpendicular to a side and bisects it (divides it into two equal parts). - *Angle bisector:* A segment that divides an angle into two equal angles. - *Median:* A segment from a vertex to the midpoint of the opposite side. - *Altitude:* A segment from a vertex perpendicular to the opposite side. 3. **Part (a) TD in △ABC:** - TD is drawn from vertex B to point D on AC. - There is a right angle mark at D, so TD is perpendicular to AC. - D lies on AC, but no tick marks indicate D is midpoint. - Therefore, TD is perpendicular to AC but not necessarily bisecting it. - TD is an altitude (perpendicular from vertex to opposite side). 4. **Part (b) TI in △FGH:** - TI is drawn from vertex H to point I on FG. - Angle bisector markings at H indicate TI bisects ∠H. - No indication that TI is perpendicular to FG or that I is midpoint. - Therefore, TI is an angle bisector of ∠H. 5. **Part (c) JM in △JKL:** - JM is drawn from vertex J to point M on KL. - Tick marks on KM and ML show M is midpoint of KL. - No right angle mark at M, so JM is not necessarily perpendicular. - JM connects vertex J to midpoint M, so JM is a median. **Final classifications:** - (a) TD is an altitude of △ABC. - (b) TI is an angle bisector of ∠H. - (c) JM is a median of △JKL. **Answer:** (a) Altitude of △ABC (b) Angle bisector of ∠H (c) Median of △JKL