Tangent Lines to Circles Worksheet
Grade 11 Math worksheet covering properties and equations of tangent lines to circles.
Includes
Standards
Tangent Lines to Circles
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Date:
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Read each question carefully and answer to the best of your ability. Show all work where necessary.
1. A line that intersects a circle at exactly one point is called a:
Secant
Chord
Tangent
Diameter
2. If a line is tangent to a circle, then it is to the radius drawn to the point of tangency.
Parallel
Perpendicular
Congruent
Similar
3. A tangent segment from an external point to a circle is congruent to another tangent segment from the same external point to the same circle.
True
False
4. The angle formed by a tangent and a chord drawn to the point of tangency is equal to half the measure of the intercepted arc.
True
False
5. Given a circle with center (0,0) and radius 5. Find the equation of the tangent line to the circle at the point (3,4).
6. A point P (6, 8) lies on a circle with center at the origin. Determine the equation of the tangent line to the circle at point P.
7. The distance from the center of a circle to a tangent line is equal to the of the circle.
8. Two tangent segments from an external point to a circle form an angle, and the line segment connecting the external point to the center of the circle that angle.
9. Explain how you would determine if a given line is tangent to a given circle. Provide an example to illustrate your explanation.