Tangent to a Circle

Tangent to a Circle

Tangent to a Circle 150 150 SchoolTutoring Academy

 

The tangent to a circle is a line circle that intersects the circle in exactly one point. The point where the tangent touches the circle is the point of tangency.

Line n is tangent to circle O with point of tangency at P.

Property 1:

A tangent to a circle is perpendicular to the radius drawn to the point of tangency.

OP is perpendicular to tangent line n.

 

Property 2:

 

Tangent segments to a circle from a point outside the circle are congruent.

 

 

AB = AC

 

Property 3:

 

The angle formed by a tangent and a chord is congruent to the inscribed angle on the opposite side of the chord.

angle APB = angle PCB                             

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