Download Geometry §14.6 Angles formed by Tangents: Tangent: A line that

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Transcript
Geometry
§14.6 Angles formed by Tangents:
Tangent: A line that intersects a circle in one point (the point of tangency).
Theorem: If a line is tangent to a circle, then it's perpendicular
to the radius containing the point of tangency.
There are 3 types of angles that can be formed with a tangent...
• Measure of angle formed by tangent
and chord is ½ intercepted arc.
1
• Measure of angle formed by tangent and
secant is ½ the difference intercepted arc.
• Measure of angle formed to by two tangents
is ½ the difference of intercepted arc.
2
3
Examples:
Homework:
§14.5 #19
§14.6 #1-9, 13, 14, 18