circles

Theorom 1 = a tangent which meets the radius of a circle at the point of contact is perpendicular to the radius

Theorom 2 = two tangents from a single external point which meet the same circle are equal

Theorom 3 = a line drawn through the end of a radius

A tangent is a line that intersects a circle at only one distinct point

A secant is a line that intersects a circle at two distinct points

A point inside the circle has no tangents passing through it

a point on the circle has 1 tangent passing through it

a point outside the circle has 2 tangents passing through it

the point where a tangent meets a circle is called the point of contact

Theorem 1 and 3

prove

use pythagorean theorem to find length of an associated line

Theorem 2

prove

find length of side of circumscribing triangle

concentric circles chord/tangent

triangles:area and perimeter

circumscribing quadrilaterals