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What to know for the Chapter 10 Test
Definitions
 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
 TangentChord angle
 Central angle
 ChordChord angle
 SecantSecant angle
 SecantTangent angle
 TangentTangent angle
 Tangent circles (internally and externally)
 Inscribed and circumscribed polygons (and circles!)
 Circumference
 Arc Length
Postulates
 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
Problem Types
 Finding the measures of arcs and angles related to circles
 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)
 Power Theorem problems
 Finding arc length
 Proofs (including proving the Power Theorems!)
