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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
• 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

• 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

• Theorems 73 - 97

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" walk-around" problems)
• Power Theorem problems
• Finding arc length
• Proofs (including proving the Power Theorems!)