Upload File

name pd date geometry applications teacher · 2011-05-09 · 24 mini – lesson in lesson #2, you...

  • Home
  • Documents
  • Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted
44
1 Name_________________________________ Pd __________ Date________________ Geometry Applications Teacher

Upload: others

Post on 23-Mar-2020

2 views

Category:

Documents


0 download

Report

TRANSCRIPT

Page 1: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

1

Name_________________________________ Pd __________ Date________________ Geometry Applications Teacher

Page 2: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

2

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

Page 3: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

3

Central Angles of Circles – Day 1

Angles and Arcs

Model Problem #1

a. b.

Page 4: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

4

Model Problem #2

______________ ______________

a.

b.

Page 5: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

5

Model Problem #3

a.

b.

c.

d.

QP

GH

JG

Page 6: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

6

Model Problem #4

Minor arc GH =

Major arc GHL =

Semicircle GLJ=

Minor arc MQ=

Major arc PMQ=

Semicircle MQP =

Page 7: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

7

Homework

Page 8: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

8

Page 9: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

9

Inscribed Angles of Circles – Day 2

Warm – Up

Page 10: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

10

Model Problem #1

a. b.

Page 11: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

11

Model Problem #2

3.

4. Find each measure.

a. m x

b. m y

1. 2

Page 12: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

12

3.

Model Problem #3

Page 13: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

13

Model Problem #4

Page 14: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

14

Model Problem #5

a.

b.

Page 15: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

15

Homework

Page 16: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

16

9) 10)

11) 12)

13)

Page 17: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

17

Angles Formed by Tangents and Chords – Day 3

1.

2.

Page 18: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

18

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

Page 19: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

19

Model Problem #1

1. 2.

4.

Model Problem #2

5. 6.

Page 20: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

20

7. 8.

Model Problem #3

9. 10.

11.

Find mDF.

Page 21: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

21

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 =

Page 22: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

22

6. 7.

8. 9.

Challenge!

10. 11.

Page 23: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

23

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.

Page 24: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

24

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 =

Page 25: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

25

Model Problem #2

Model Problem #3

Page 26: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

26

Homework

Page 27: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

27

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

Page 28: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

28

Mini – Lesson: Angles formed by Two Tangents

Given:

Model Problem #1

Rule for Angles formed by Two Tangents

Page 29: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

29

Model Problem #2

Mini – Lesson: Angles formed by Two Secants

Definition of Secant line –

_______________________________________

_______________________________________

Given:

Rule for Angles formed by Two Secants

Page 30: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

30

Model Problem #1

Model Problem #2

Page 31: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

31

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?

__________________________________________________________________________________________________

__________________________________________________________________________________________________

Model Problem #1

Rule for Angles formed by Tangent-Secant Lines

Page 32: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

32

Model Problem #2

Page 33: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

33

CHALLENGE

Summary

Page 34: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

34

Homework

Page 35: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

35

Big Circle Problems – Day 6

Warm – Up

Page 36: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

36

Big Circle Problem #1

Big Circle Problem #2

Page 37: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

37

Homework

Page 38: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

38

Summary of Formulas Used to Calculate Angles in Circles

Page 39: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

39

Day – 7: Review of Angles in Circles

Page 40: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

40

7.

Page 41: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

41

13. 14.

15. 16. 17.

Page 42: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

42

18.

19.

20.

Page 43: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

43

21.

22.

23.

Page 44: Name Pd Date Geometry Applications Teacher · 2011-05-09 · 24 Mini – Lesson In Lesson #2, you saw that an inscribed angle has a measure equal to one-half the measure of its intercepted

44

24.


Lesson Measure Perimeter

Course 1 9-1 Understanding Customary Units of Measure 9-1 Understanding Customary Units of Measure Course 1 Warm Up Warm Up Lesson Presentation Lesson

Lesson 11.1 Assignment - satreihs.weebly.comsatreihs.weebly.com/uploads/5/8/3/6/58366617/student_assignments...Central Angles, Inscribed Angles, and Intercepted Arcs Use circle S to

KEY TO FREQUENTLY NAMED LEPIDOPTERAN LARVAE INTERCEPTED ...idtools.org/id/leps/lepintercept/LepIntercept_LarvalKey.pdf · KEY TO FREQUENTLY NAMED LEPIDOPTERAN LARVAE INTERCEPTED,

Lesson 1.4: Angle Measure

Transcript of Intercepted Telecommunication Public Website/Exhibit S26.pdf · Transcript of Intercepted Telecommunication Warrant No: G00321_00_00 ... Protected document containing

Splash Screen. Vocabulary inscribed angle intercepted arc

Cables Re Sri Lankans Intercepted 2007

Intercepted Signs in Horoscopes a New Concept

Theorems for CH 10 - 12 - Mendham Borough School … a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted

1 Lesson 6.3 Inscribed Angles and their Intercepted Arcs Goal 1 Using Inscribed Angles Goal 2 Using Properties of Inscribed Angles

Math12-1 Lesson 1 Angle Measure

Inscribed angle and intercepted arc

Find each measure. · 2016-04-19 · Find each measure. 62/87,21 If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted

Lesson 7: The Angle Measure of an Arc · Lesson 7 introduces the angle measure of an arc and finishes the inscribed angle theorem. Only in this lesson is the inscribed angle theorem

Lesson 17 Introduction Measure Length€¦ · Lesson 17 Lesson 17 Measure Length Read the problem. Then you will look at ways to measure. Jonah wants to measure the length of the

Lesson 6.1- Angle Measure

Selecting ‘Suspicious’ Messages in Intercepted Communication

Theorem 12-9: The measure of an inscribed angles is half the measure of its intercepted arc. m B= 1 / 2 mAC ( B A C

Find each measure. - Brewton City Schools · Find each measure. 62/87,21 If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted

Central angles, inscribed angles, and intercepted arcs...The Inscribed Angle Theorem states: “The measure of an inscribed angle is half the measure of its intercepted arc.” You

EPITHERMAL GOLD-SILVER MINERALIZATION INTERCEPTED IN FIRST

Lesson 6 furit. measure word

10 · Web viewInscribed Angle and Intercepted Arc: A C B Theorem 12.11: Inscribed Angle Theorem If an angle is inscribed in a circle, then the measure is half the measure of the intercepted

Precalculus Lesson 4.1 Radian and Degree Measure

Module 2 Lesson 9: Measure lengths of string using measurement tools, and use tape diagrams to represent and compare lengths. Lesson 9: Measure lengths

inscribed angle intercepted arc subtend

A Life Intercepted Excerpt - Charles Martin

Inscribed angle and intercepted arc. Find the measure of an inscribed angle. Use inscribed angles and their properties to solve problems. Objectives

Lesson 5 What devices do we use to measure radon?

Can You Measure Up? An introductory lesson on units of measure

Lesson 28 Which Measure is Best?

 · Intersections Outside a Circle If secants and tangents intersect outside a circle, they form an angle whose measure is related to the intercepted arcs

wolfeclassroom.wikispaces.com11.2+notes.pdf11.2 Central Angles, Inscribed Angles. and Intercepted Arcs 851 . 852 4. Draw and label two adjacent arcs on circle O Shown. The "The measure

COMPLETED OR INTERCEPTED PASS