Tangent Lines to Circles Worksheet
Explore the properties of tangent lines to circles, including radius perpendicularity and segment lengths from an external point, for Grade 10 Geometry.
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Standards
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 measure of the angle formed by a tangent line and the radius drawn to the point of tangency?
45 degrees
90 degrees
180 degrees
Depends on the radius
2. From an external point, how many tangent segments can be drawn to a circle?
One
Two
Three
Infinitely many
1. A line that intersects a circle at exactly one point is called a line.
2. The distance from the center of a circle to a tangent line is equal to the of the circle.
3. If two tangent segments are drawn to a circle from the same external point, then the segments are .
1. In the diagram below, AB is tangent to circle O at point A. If OA = 6 and OB = 10, find the length of AB.
2. A point P is 13 cm from the center of a circle with a radius of 5 cm. Find the length of the tangent segment from P to the circle.
1. A tangent line can intersect a circle at two points.
True
False
2. The two tangent segments from an external point to a circle are congruent.
True
False
1. A common external tangent segment is drawn to two circles with radii 6 cm and 3 cm. If the distance between the centers of the circles is 15 cm, find the length of the common external tangent segment.