Answer:
The first diagram
- The right triangles are congruent by SSS (or HL)
- Corresponding angles at point T are congruent.
P lies on perpendicular bisector
The second diagram
- The right triangles are congruent by HL
- Corresponding angles at point T are congruent.
P lies on perpendicular bisector
The third diagram
- The right triangles are congruent by HL.
- Corresponding angles at point E are congruent.
P lies on the angle bisector
In all three cases we have sufficient information
