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Tangent and Secant Lines

A tangent to a circle is a line intersecting the circle at exactly one point. Can you prove that the line from the center of the circle to the point of tangency is perpendicular to the tangent line?

Tangent and Secant Lines Warmup


Given the two lines tangent to circle \(M,\) what is the measure of \(\angle POM + \angle PAM ?\)

The lines shown in the diagram are perpendicular.

True or False: Segment \(AB\) must be the diameter of the circle.

What is the value of \(p?\)

What is the radius of circle \(Q?\)

If the line is tangent to the circle at point P and the vertex of the angle at \( x \) is the center of the circle, what is the value of \(x?\)


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