Tangent Lines Worksheet
Explore the properties of tangent lines to circles with this Grade 9 math worksheet, covering definitions, theorems, and problem-solving.
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Tangent Lines Geometry
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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 a tangent line to a circle?
A line that intersects the circle at two points.
A line that passes through the center of the circle.
A line that intersects the circle at exactly one point.
A line segment connecting two points on the circle.
2. The radius drawn to the point of tangency is to the tangent line.
3. If two tangent segments are drawn to a circle from the same external point, then the segments are .
4. In the diagram below, line AB is tangent to circle O at point A. If the radius of circle O is 5 cm and the distance from O to B is 13 cm, find the length of AB.
5. A secant line intersects a circle at exactly one point.
True
False
6. Two tangent segments, PT and PS, are drawn to a circle from an external point P. If PT = 3x + 2 and PS = 5x - 8, find the value of x and the length of each tangent segment.