Tangent Lines Worksheet
A Grade 11 Math worksheet focusing on understanding and calculating properties of tangent lines to circles and curves.
Includes
Standards
Tangent Lines Worksheet
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Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A line that touches a circle at exactly one point is called a:
Secant line
Chord
Tangent line
Radius
2. The angle between a tangent line and the radius drawn to the point of tangency is always:
45 degrees
60 degrees
90 degrees
180 degrees
3. If two tangent segments are drawn to a circle from the same external point, then the segments are .
4. The derivative of a function at a point gives the of the tangent line to the curve at that point.
5. A circle has a radius of 5 cm. A tangent segment is drawn from an external point P, which is 13 cm from the center of the circle. Find the length of the tangent segment.
6. Find the equation of the tangent line to the circle x² + y² = 25 at the point (3, 4).
7. A line can intersect a circle at more than two points.
True
False