Activity 4.5
a. 90 degrees, tangent line
b.
c.
d. This expression does not depend on the position of the line PQR because the triangles created would have the same angle and would be similar. Therefore, the equation determined in activity 3 holds true.
e. The values of the three expression are nonexistent if we move point P inside the circle because T would no longer be a tangent line by definition.
Generalize: If P is a concurrency point of a tangent line, chord and line through the center of a circle, then the distance from P to the tangent point squared is