Tangent Lines to Circles
Explore the properties of tangent lines to circles, including their relationship with the radius and applications in geometry.
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Tangent Lines to Circles
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Define a tangent line to a circle. How does it differ from a secant line?
2. State the theorem that describes the relationship between a tangent line and the radius drawn to the point of tangency.
3. In the diagram below, line AB is tangent to circle O at point P. If the radius of the circle is 5 units and the distance from O to B is 13 units, find the length of AB.
4. If two tangent segments are drawn to a circle from the same external point, then the segments are:
Parallel
Perpendicular
Congruent
Similar
5. A line that intersects a circle at exactly one point is called a .
6. The point where a tangent line touches a circle is known as the of .
7. A tangent line can intersect a circle at two points.
True
False