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8/17/2019 7 5 Tangents
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7-5Tangents
Objectives:
• To recognize tangents and use properties of tangents.
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Vocabulary
• Tangent• Point of Tangency
• Coon Tangents
• Coon !"ternal Tangents
• Coon #nternal Tangents
• Circuscribed Polygons
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$efinitions
• % line or line segent is tangent to a circle if itintersects t&e circle in e"actly one point.
• T&e point of intersection bet'een a tangentand its circle is called t&e point of tangency.
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T&eore 7-(
• #f a line is tangent to a
circle) t&en it is
perpendicular to t&e radius
dra'n to t&e point oftangency.
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!"aple *
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T&eore 7-+
,Converse of T&eore 7-(
• #n a plane) if a line is perpendicular to a radius of a
circle at t&e endpoint on t&e circle) t&en t&e line is
tangent to t&e circle.
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!"aple
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Coon Tangents
•
% line or line segentt&at is tangent to t'o
circles in t&e sae
plane is called a
coon tangent.
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Coon Tangents
•
Coon e"ternaltangents do not intersect
t&e segent '&ose
endpoints are t&e centers
of t&e circles.
•
Coon internaltangents intersect t&e
segent '&ose
endpoints are t&e centers
of t&e circles.
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T&eore 7-*/
• #f t'o segents frot&e sae e"terior point
are tangent to a circle)
t&en t&ey arecongruent.
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Circuscribed Polygons
• % polygon is circuscribed
about a circle if eac& side of
t&e polygon is tangent to t&e
circle.
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!"aple 0
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1oe'or2
7-5 Worksheet
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