If a line through a point on a circle is perpendicular to the radius through that point, then the line is a tangent to the circle.
The tangent at a point on a circle is perpendicular to the radius through that point.
Each of the two angles made by a tangent to a circle and a chord through the point of contact is equal to an angle in the segment on the other side of the chord.
The lengths of the tangents from a point outside a circle are equal.
The bisectors of the three angles of a triangle intersect at a point.
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