Answer:
Option (3)
Explanation:
To prove ΔMTD ≅ ΔLGS,
Statements Reasons
1). Segment TM ≅ GL 1). Given
2). Segment MD ≅ LS 2). Given
3). Segment TD ≅ GS 3). Additional information required
4). ΔMTD ≅ ΔLGS 4). SSS property
For SSS property corresponding sides of the given triangles must be congruent.
Therefore, additional information required is segment GS ≅ TD
Option (3). will be the answer.