Tangent Lines to Circles
This worksheet focuses on understanding and applying the properties of tangent lines to circles, including the relationship between a tangent and the radius, and solving problems involving tangents.
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Tangent Lines to Circles
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the relationship between a tangent line and the radius drawn to the point of tangency?
They are parallel.
They are perpendicular.
They intersect at an acute angle.
They are congruent.
2. How many common tangents can be drawn to two circles that are externally tangent to each other?
1
2
3
4
1. A line that intersects a circle at exactly one point is called a .
2. The point where a tangent line touches the circle is known as the of tangency.
3. From an external point, two tangent segments to a circle are in length.
1. In the diagram below, line AB is tangent to circle O at point P. If the radius of the circle is 5 cm and the distance from O to B is 13 cm, find the length of the tangent segment PB.
1. A secant line intersects a circle at exactly one point.
True
False
2. If two tangent segments are drawn to a circle from the same external point, then the segments are congruent.
True
False
1. Two tangent segments are drawn from an external point A to a circle with center C. If the distance from A to C is 10 cm and the radius of the circle is 6 cm, find the length of each tangent segment.