Determine if segment XY is tangent to circle Z.

Answer:
It is not.
Step-by-step explanation:
For XY to be a tangent XY must be perpendicular to radius at point of contact with circle (X).
Perpendicular also means 90° angle between XY and radius.
90° angle means XYZ should be a right angled triangle
Test for right angle triangle: pythagoras theorem.
3.6²+2.7²≠1.8²
Hence not right angled. XY not a tangent.