Question

a class mate insists that segment YZ is not a tangent to circle X... explain how to show that ur class mate is wrong

Answer 1

Do you have a picture?

A couple of things to look at:
A line is tangent to a circle IF:
The line only touches one point on the rim of the circle
The radius to the point that the line touches is 90 degrees

Answer 2

ok now how do i find the radius if segment DE is tangent to circle C.. and DE=4 and CE=8

Answer 3

You would need more information unless either D or E is on the circle

Answer 4

D is on the circle but so is a random F