Name Date Honors Geometry 2012- Williams/Hertel … _____ Date _____ Honors Geometry 2012-...

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Name ________________________ Date ______ Honors Geometry 2012- Williams/Hertel 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 74 - 98 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!)

Transcript of Name Date Honors Geometry 2012- Williams/Hertel … _____ Date _____ Honors Geometry 2012-...

Name ________________________ Date ______ Honors Geometry 2012- Williams/Hertel

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 74 - 98

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!)

Proofs

The following Theorems are often used in circle proofs

In a circle, parallel lines intercept congruent arcs.

A tangent is perpendicular to a diameter or radius at the point of tangency

22.

23.

24.

25.

26. Given: Secants ADB and CEB intersect at B. ̅̅ ̅̅ ̅̅ ̅̅

Prove: ABC is isosceles.

D

B

A C

E

Name __________________________ Date _______ Honors Geometry 2012 – Williams/Hertel

KEY: Chapter 10 Review

Proofs

22.

23.

24.

25.

26.