Download Honors Geometry 2012- Williams/Hertel What to know for the

Name ________________________ Date ______ Honors Geometry 2012- Williams/Hertel
What to know for the Chapter 10 Test
Definitions
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Circle, center, radius
Congruent circles
Concentric circles
Points inside, outside, and on a circle
Chord
The distance from the center of a circle to a chord
Diameter
Secant, secant segment, external part of a secant segment
Tangent to a circle, point of tangency, tangent segment
Common tangent (internal and external)
Arc, semicircle, major arc, minor arc
The measure of an arc
Congruent arcs
Inscribed angle
Tangent-Chord angle
Central angle
Chord-Chord angle
Secant-Secant angle
Secant-Tangent angle
Tangent-Tangent angle
Tangent circles (internally and externally)
Inscribed and circumscribed polygons (and circles!)
Circumference
Arc Length
Postulates
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A tangent to a circle is perpendicular to the radius drawn to the point of tangency
If a line is perpendicular to a radius at its outer endpoint, then it is tangent to the circle
Theorems
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Theorems 74 - 98
Problem Types
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Finding the measures of arcs and angles related to circles
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Power Theorem problems
Finding arc length
Finding lengths of chords
Common internal and external tangent problems
Finding the measure of angles and arcs related to polygons inscribed in and circumscribed about circles (including" walkaround" problems)
Proofs (including proving the Power Theorems!)
Proofs
The following Theorems are often used in circle proofs
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In a circle, parallel lines intercept congruent arcs.
A tangent is perpendicular to a diameter or radius at the point of tangency
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B
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Given: Secants ADB and CEB intersect at B. ̅̅̅̅  ̅̅̅̅
Prove: ABC is isosceles.
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Name __________________________ Date _______ Honors Geometry 2012 – Williams/Hertel
KEY: Chapter 10 Review
Proofs
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