7.)
What is the tangent to a circle conjecture?


A
tangent line of a circle is any line that intersects the circle in ONLY
one point. These lines "just touch" the circle without traveling
inside. A line that intersects a circle through two points is a secant
line. Chords of circles lie on secant lines.
The
precise statement of this conjecture is:
Tangent
Conjecture I:
Any tangent line to a circle is perpendicular to the radius drawn to
the point of tangency. (top picture)
The
pictures and information were found at the following site:
http://www.geom.uiuc.edu/~dwiggins/conj42.html