SlideShare une entreprise Scribd logo
1  sur  10
Indirect Proof and Inequalities in Two Triangles Objectives: -  Read and write an indirect proof - Use the Hinge Theorem and its converse to compare side lengths and angle measures
Indirect Proof ,[object Object]
Indirect Proof Example ,[object Object],A B C ,[object Object],[object Object],[object Object],[object Object]
Indirect Proof Example ,[object Object],A B C ,[object Object],[object Object],[object Object]
Indirect Proof Example ,[object Object],A B C ,[object Object],[object Object],[object Object],[object Object],[object Object]
Indirect Proof Example ,[object Object],A B C ,[object Object]
Hinge Theory ,[object Object],[object Object],110º H B A E B J
Hinge Theorem ,[object Object]
Converse of the Hinge Theorem ,[object Object]
Do p. 305 1-6 ,[object Object]

Contenu connexe

Tendances

Trigonometry
TrigonometryTrigonometry
Trigonometry
Sanpraju
 
3-1 Labeling Angles
3-1 Labeling Angles 3-1 Labeling Angles
3-1 Labeling Angles
gwilson8786
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
Jessica Garcia
 
Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14
jbianco9910
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratios
hisema01
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
Ramesh Kumar
 

Tendances (20)

Algebra 2 unit 10.3
Algebra 2 unit 10.3Algebra 2 unit 10.3
Algebra 2 unit 10.3
 
2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalities2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalities
 
Trigonometry
TrigonometryTrigonometry
Trigonometry
 
Right triangles
Right trianglesRight triangles
Right triangles
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
 
Geometry unit 8.4
Geometry unit 8.4Geometry unit 8.4
Geometry unit 8.4
 
3-1 Labeling Angles
3-1 Labeling Angles 3-1 Labeling Angles
3-1 Labeling Angles
 
Geometry unit 8.3
Geometry unit 8.3Geometry unit 8.3
Geometry unit 8.3
 
Angle Pairs
Angle PairsAngle Pairs
Angle Pairs
 
The Tangent Ratio
The Tangent RatioThe Tangent Ratio
The Tangent Ratio
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
 
Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14Similarity using indirect measurements updated 3 19-14
Similarity using indirect measurements updated 3 19-14
 
Yogie.pptx trigonometry kvs
Yogie.pptx trigonometry kvsYogie.pptx trigonometry kvs
Yogie.pptx trigonometry kvs
 
Trigonometry ratios in right triangle
Trigonometry ratios in right triangleTrigonometry ratios in right triangle
Trigonometry ratios in right triangle
 
6.3 Triangle Inequalities
6.3 Triangle Inequalities6.3 Triangle Inequalities
6.3 Triangle Inequalities
 
Geometry of shape and size
Geometry of shape and sizeGeometry of shape and size
Geometry of shape and size
 
8 2 Triangle Sum Theorem
8 2 Triangle Sum Theorem8 2 Triangle Sum Theorem
8 2 Triangle Sum Theorem
 
4.1 trig ratios
4.1 trig ratios4.1 trig ratios
4.1 trig ratios
 
Right triangle trigonometry
Right triangle trigonometryRight triangle trigonometry
Right triangle trigonometry
 
Geometry unit 8.2
Geometry unit 8.2Geometry unit 8.2
Geometry unit 8.2
 

En vedette (6)

5.6 inequalities in two triangles and indirect proof
5.6 inequalities in two triangles and indirect proof5.6 inequalities in two triangles and indirect proof
5.6 inequalities in two triangles and indirect proof
 
5.6 terms
5.6 terms5.6 terms
5.6 terms
 
Geometry unit 5.7
Geometry unit 5.7Geometry unit 5.7
Geometry unit 5.7
 
Geometry 201 unit 5.7
Geometry 201 unit 5.7Geometry 201 unit 5.7
Geometry 201 unit 5.7
 
CPSC 125 Ch 2 Sec 1
CPSC 125 Ch 2 Sec 1CPSC 125 Ch 2 Sec 1
CPSC 125 Ch 2 Sec 1
 
Hinge theorem
Hinge theoremHinge theorem
Hinge theorem
 

Similaire à Geom 5point6

Geom 5point5
Geom 5point5Geom 5point5
Geom 5point5
herbison
 
TechMathI - 3.5 - Inequalities in Geometry
TechMathI - 3.5 - Inequalities in GeometryTechMathI - 3.5 - Inequalities in Geometry
TechMathI - 3.5 - Inequalities in Geometry
lmrhodes
 
Lesson 5 4
Lesson 5 4Lesson 5 4
Lesson 5 4
mgadia
 
Lines and angles
Lines and anglesLines and angles
Lines and angles
andylouis1
 

Similaire à Geom 5point6 (20)

Geom 5point5
Geom 5point5Geom 5point5
Geom 5point5
 
14 right angle trigonometry
14 right angle trigonometry14 right angle trigonometry
14 right angle trigonometry
 
Gch8 l2
Gch8 l2Gch8 l2
Gch8 l2
 
Oblique triangles
Oblique trianglesOblique triangles
Oblique triangles
 
Trigonometry
TrigonometryTrigonometry
Trigonometry
 
Math12 lesson10
Math12 lesson10Math12 lesson10
Math12 lesson10
 
TechMathI - 3.5 - Inequalities in Geometry
TechMathI - 3.5 - Inequalities in GeometryTechMathI - 3.5 - Inequalities in Geometry
TechMathI - 3.5 - Inequalities in Geometry
 
Math12 lesson10
Math12 lesson10Math12 lesson10
Math12 lesson10
 
properties of triangle.pptx
properties of triangle.pptxproperties of triangle.pptx
properties of triangle.pptx
 
Lesson 5 4
Lesson 5 4Lesson 5 4
Lesson 5 4
 
Journal 1
Journal 1Journal 1
Journal 1
 
Angles (Types, Characteristics,Examples,illustrations) Grade 7
Angles (Types, Characteristics,Examples,illustrations) Grade 7Angles (Types, Characteristics,Examples,illustrations) Grade 7
Angles (Types, Characteristics,Examples,illustrations) Grade 7
 
Introduction To Trigonometry
Introduction To Trigonometry Introduction To Trigonometry
Introduction To Trigonometry
 
Hprec6 1
Hprec6 1Hprec6 1
Hprec6 1
 
Lines and angles
Lines and anglesLines and angles
Lines and angles
 
Law of sines-1
Law of sines-1Law of sines-1
Law of sines-1
 
Angles, Right Triangle, Pythagorean Theorem, Trigonometric Ratios
Angles, Right Triangle, Pythagorean Theorem, Trigonometric RatiosAngles, Right Triangle, Pythagorean Theorem, Trigonometric Ratios
Angles, Right Triangle, Pythagorean Theorem, Trigonometric Ratios
 
geometric 101.ppt
geometric 101.pptgeometric 101.ppt
geometric 101.ppt
 
CABT Math 8 - Angles and Angle Measurements
CABT Math 8 - Angles and Angle MeasurementsCABT Math 8 - Angles and Angle Measurements
CABT Math 8 - Angles and Angle Measurements
 
INTRODUCTION TO TRIGNOMETRY ppt
INTRODUCTION TO TRIGNOMETRY pptINTRODUCTION TO TRIGNOMETRY ppt
INTRODUCTION TO TRIGNOMETRY ppt
 

Plus de herbison

Chapter 2 notes new book
Chapter 2 notes new bookChapter 2 notes new book
Chapter 2 notes new book
herbison
 
Week 2 applying for jobs
Week 2 applying for jobsWeek 2 applying for jobs
Week 2 applying for jobs
herbison
 
Chapter 19
Chapter 19Chapter 19
Chapter 19
herbison
 
Plumbing night 2 types of plumbing businesses
Plumbing night 2   types of plumbing businessesPlumbing night 2   types of plumbing businesses
Plumbing night 2 types of plumbing businesses
herbison
 
Plumbing night 1 legal forms of business
Plumbing night 1   legal forms of businessPlumbing night 1   legal forms of business
Plumbing night 1 legal forms of business
herbison
 
Cyberbullying class 97
Cyberbullying class 97Cyberbullying class 97
Cyberbullying class 97
herbison
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
herbison
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
herbison
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
herbison
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
herbison
 
Algebra 6 Point 10
Algebra 6 Point 10Algebra 6 Point 10
Algebra 6 Point 10
herbison
 
Algebra 6 Point 8
Algebra 6 Point 8Algebra 6 Point 8
Algebra 6 Point 8
herbison
 
Algebra 6 Point 7
Algebra 6 Point 7Algebra 6 Point 7
Algebra 6 Point 7
herbison
 
Algebra 6 Point 5
Algebra 6 Point 5Algebra 6 Point 5
Algebra 6 Point 5
herbison
 
Algebra 6 Point 3
Algebra 6 Point 3Algebra 6 Point 3
Algebra 6 Point 3
herbison
 
Algebra 6 Point 4
Algebra 6 Point 4Algebra 6 Point 4
Algebra 6 Point 4
herbison
 
Algebra 6 Point 6
Algebra 6 Point 6Algebra 6 Point 6
Algebra 6 Point 6
herbison
 
Algebra 6 Point 2
Algebra 6 Point 2Algebra 6 Point 2
Algebra 6 Point 2
herbison
 

Plus de herbison (20)

Investments handout
Investments handoutInvestments handout
Investments handout
 
Chapter 2 notes new book
Chapter 2 notes new bookChapter 2 notes new book
Chapter 2 notes new book
 
Week 2 applying for jobs
Week 2 applying for jobsWeek 2 applying for jobs
Week 2 applying for jobs
 
Chapter 19
Chapter 19Chapter 19
Chapter 19
 
Plumbing night 2 types of plumbing businesses
Plumbing night 2   types of plumbing businessesPlumbing night 2   types of plumbing businesses
Plumbing night 2 types of plumbing businesses
 
Plumbing night 1 legal forms of business
Plumbing night 1   legal forms of businessPlumbing night 1   legal forms of business
Plumbing night 1 legal forms of business
 
Cyberbullying class 97
Cyberbullying class 97Cyberbullying class 97
Cyberbullying class 97
 
Cartoon
CartoonCartoon
Cartoon
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
 
Wiki assignment
Wiki assignmentWiki assignment
Wiki assignment
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
 
Security privacy health environmental
Security privacy health environmentalSecurity privacy health environmental
Security privacy health environmental
 
Algebra 6 Point 10
Algebra 6 Point 10Algebra 6 Point 10
Algebra 6 Point 10
 
Algebra 6 Point 8
Algebra 6 Point 8Algebra 6 Point 8
Algebra 6 Point 8
 
Algebra 6 Point 7
Algebra 6 Point 7Algebra 6 Point 7
Algebra 6 Point 7
 
Algebra 6 Point 5
Algebra 6 Point 5Algebra 6 Point 5
Algebra 6 Point 5
 
Algebra 6 Point 3
Algebra 6 Point 3Algebra 6 Point 3
Algebra 6 Point 3
 
Algebra 6 Point 4
Algebra 6 Point 4Algebra 6 Point 4
Algebra 6 Point 4
 
Algebra 6 Point 6
Algebra 6 Point 6Algebra 6 Point 6
Algebra 6 Point 6
 
Algebra 6 Point 2
Algebra 6 Point 2Algebra 6 Point 2
Algebra 6 Point 2
 

Dernier

Dernier (20)

How to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected WorkerHow to Troubleshoot Apps for the Modern Connected Worker
How to Troubleshoot Apps for the Modern Connected Worker
 
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law DevelopmentsTrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
TrustArc Webinar - Stay Ahead of US State Data Privacy Law Developments
 
What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?What Are The Drone Anti-jamming Systems Technology?
What Are The Drone Anti-jamming Systems Technology?
 
Exploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone ProcessorsExploring the Future Potential of AI-Enabled Smartphone Processors
Exploring the Future Potential of AI-Enabled Smartphone Processors
 
Tata AIG General Insurance Company - Insurer Innovation Award 2024
Tata AIG General Insurance Company - Insurer Innovation Award 2024Tata AIG General Insurance Company - Insurer Innovation Award 2024
Tata AIG General Insurance Company - Insurer Innovation Award 2024
 
Data Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt RobisonData Cloud, More than a CDP by Matt Robison
Data Cloud, More than a CDP by Matt Robison
 
A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?A Year of the Servo Reboot: Where Are We Now?
A Year of the Servo Reboot: Where Are We Now?
 
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
Strategies for Unlocking Knowledge Management in Microsoft 365 in the Copilot...
 
HTML Injection Attacks: Impact and Mitigation Strategies
HTML Injection Attacks: Impact and Mitigation StrategiesHTML Injection Attacks: Impact and Mitigation Strategies
HTML Injection Attacks: Impact and Mitigation Strategies
 
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
04-2024-HHUG-Sales-and-Marketing-Alignment.pptx
 
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, AdobeApidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
Apidays New York 2024 - Scaling API-first by Ian Reasor and Radu Cotescu, Adobe
 
The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024The 7 Things I Know About Cyber Security After 25 Years | April 2024
The 7 Things I Know About Cyber Security After 25 Years | April 2024
 
Handwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed textsHandwritten Text Recognition for manuscripts and early printed texts
Handwritten Text Recognition for manuscripts and early printed texts
 
Scaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organizationScaling API-first – The story of a global engineering organization
Scaling API-first – The story of a global engineering organization
 
Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)Powerful Google developer tools for immediate impact! (2023-24 C)
Powerful Google developer tools for immediate impact! (2023-24 C)
 
Partners Life - Insurer Innovation Award 2024
Partners Life - Insurer Innovation Award 2024Partners Life - Insurer Innovation Award 2024
Partners Life - Insurer Innovation Award 2024
 
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...Workshop - Best of Both Worlds_ Combine  KG and Vector search for  enhanced R...
Workshop - Best of Both Worlds_ Combine KG and Vector search for enhanced R...
 
Real Time Object Detection Using Open CV
Real Time Object Detection Using Open CVReal Time Object Detection Using Open CV
Real Time Object Detection Using Open CV
 
Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
Bajaj Allianz Life Insurance Company - Insurer Innovation Award 2024
 
GenAI Risks & Security Meetup 01052024.pdf
GenAI Risks & Security Meetup 01052024.pdfGenAI Risks & Security Meetup 01052024.pdf
GenAI Risks & Security Meetup 01052024.pdf
 

Geom 5point6

  • 1. Indirect Proof and Inequalities in Two Triangles Objectives: - Read and write an indirect proof - Use the Hinge Theorem and its converse to compare side lengths and angle measures
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.