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Name_________________________________ Pd __________ Date________________ Geometry Applications Teacher
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Table of Contents
Central Angles – Day 1 …………………………………………………………………………………………………………………………………….. Page 3
Inscribed Angles – Day 2 ………………………………………………………….……………….……..………………………………..………….. Page 9
Angles Formed by Tangents and Chords – Day 3……………………………………..………………………………………..…..……….. Page 17
Angles Formed by Two Intersecting Chords – Day 4……………………………………..……………………………………………….. Page 23
Angles Formed by Tangents , Secants, and Chords – Day 5 …………………..……………..………………..…………….….….. Page 27
Big Circle Problems – Day 6……………….……………………………………………………………………………………..……..…………….. Page 35
Review – Day 7………………………………….……………………………………………………………………………………..……..…………….. Page 39
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Model Problem #4
Minor arc GH =
Major arc GHL =
Semicircle GLJ=
Minor arc MQ=
Major arc PMQ=
Semicircle MQP =
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circle
TangentChord
O
D
B
C
A
Mini – Lesson
Angle formed by Tangent and Chord
m CBA = ___________
= ___________
Angle formed by Tangent and Radius
m OBC = ___________
Rule for Tangent Chord Angle
Rule for Tangent Radii
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Homework
1. 4.
2.
5.
3.
If mQS = 120, find the mSQR.
If mQTS = 240, find the mPQS.
If mABD = 74 and mCBE = 46,
find the measure of each angle of
BDE.
B =
D =
E =
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Angles Formed by Two Intersecting Chords – Day 4
Warm – Up
1. Find each measure.
a. m BAC
b. mABC
c. mBCA
d. mDAB
e. mEAC
2.
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Mini – Lesson
In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted
arc. To the right are two types of angles you will explore in this lesson.
Model Problem #1
Rule for Angles formed by two chords intersecting inside a circle =
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Angles formed by Tangents, Secants, and Chords – Day 5
SWBAT: Calculate the Measures of Angles formed by Tangents, Secants and Chords.
If ABC is inscribed in a circle so that
mAB : mBC : mCA = 2 : 3 : 4, find:
1) mAB
2) mBC
3) mCA
4) mA
5) mB
6) mC
Warm - Up
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Mini – Lesson: Angles formed by Two Tangents
Given:
Model Problem #1
Rule for Angles formed by Two Tangents
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Model Problem #2
Mini – Lesson: Angles formed by Two Secants
Definition of Secant line –
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Given:
Rule for Angles formed by Two Secants
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Mini – Lesson: Angles formed by Tangent and a Secant
Given:
What observation can you make about the relationship between the angle formed by the tangent - secant lines and its
intercepted arcs?
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Model Problem #1
Rule for Angles formed by Tangent-Secant Lines
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