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Page 1: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle
Page 2: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle to where they intersect will be the same.

Page 3: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

A

C

B

Page 4: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

The radius of a circle is perpendicular to a line segment that is tangent to a circle at the point where the radius and the line segment intersect.

Page 5: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

Line tangent to the circle

Radius

Radius is perpendicular to the tangent line at the point of tangency

Page 6: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

Using this information you can solve for the unknown length of a line segment or the length of the radius if you known the length of the other line segment or radius.

Page 7: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

A

C

B

O

Page 8: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle
Page 9: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

A

C

B

O

Page 10: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle
Page 11: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

A

C

B

O

Page 12: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle
Page 13: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

A

C

B

O

Page 14: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle
Page 15: The tangent theorem states that if two segments are tangent to a circle and intersect one another, the length from where the segments touch the circle

Substitute in values and simplify.


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