SlideShare a Scribd company logo
1 of 28
Download to read offline
Geometry Warm Up:
pg. 224 # 20
HW answers Pg. 216 # 1-17
4.4 Are there Congruence Shortcuts? pg. 219 to 224



So Triangles are the basis for construction of buildings....


     WHY?

Because they give more support...
There are many different kinds of triangles and
when using them you need to make sure the
triangles you use are EXACTLY the same....




So how do we KNOW that triangles are congruent?

    -Match up measures
    -Match up tick marks


    What happens if there are seems to be not enough
            information?
There are 6 different ways that the same 3 parts of a
triangle are congruent....

THINK-How does the measure of an angle help
determine the length of a side?



     REMEBER:
       -Longest side is across for largest angle
       _Medium side is across from medium angle
       -Shortest side is across from smallest angle




   The ANGLE effects the side length and vice versa
6 different ways to name 3 different parts of 2
triangles to SEE if they are congruent.......(pg. 219)




      Included Angle (angle between 2 sides)
      Included Side (side between 2 angles)
So what does it mean.....




Are these 2 triangles ≅ ?
HOW do you know?
What about SAS?




HOW does this work?
ARE the triangles congruent?
What about SSA?




    HOW does this work? Are the triangles congruent?
Can prove a counter example so SSA is NOT a
congruence shortcut..
4.5 pg. Are there other Congruence Shortcuts? 225 to 229

 What about ASA?




  HOW do you prove this?
  Does thos work as a shortcut?
What about SAA?




  HOW does this work?
  Does it prove triangles are congruent?
What about AAA?




We already talked about this.
WHY would 2 triangles not be congruent in this case?
So which triangle shortcuts are true?




               Which are false?




What does it all mean?
   If two triangles have 3 corresponding matching
pieces THEN they are Congruent!

BUT remember ORDER MATTERS!! If it does not
match then don't force it!
Let's see how this works......pg. 222 # 1-13 odd
AND pg. 227 # 1-15 odd
pg. 227 # 1-15 odd
4.4 And 4.5 Congruence
4.4 And 4.5 Congruence
4.4 And 4.5 Congruence
4.4 And 4.5 Congruence
4.4 And 4.5 Congruence

More Related Content

What's hot

4 Figure Grid References
4 Figure Grid References4 Figure Grid References
4 Figure Grid Referencesigrant
 
Shapes
ShapesShapes
ShapesW W
 
Place value class 3 math
Place value class 3 mathPlace value class 3 math
Place value class 3 mathsobia sultan
 
trigfunt
trigfunttrigfunt
trigfuntbwlomas
 
#COM280 Twitter ! part 2
#COM280 Twitter ! part 2#COM280 Twitter ! part 2
#COM280 Twitter ! part 2Giorgio Ungania
 
Symmetry, rotation, translation, reflection
Symmetry, rotation, translation, reflectionSymmetry, rotation, translation, reflection
Symmetry, rotation, translation, reflectionkarish2001
 
4.3 Triangle Inequaltites
4.3 Triangle Inequaltites4.3 Triangle Inequaltites
4.3 Triangle Inequaltitesjdrambo
 
2 discovering with hands-on method
2 discovering with hands-on method2 discovering with hands-on method
2 discovering with hands-on methodMathDebate
 
2 discovering with hands-on method
2 discovering with hands-on method2 discovering with hands-on method
2 discovering with hands-on methodMathDebate
 

What's hot (16)

4 Figure Grid References
4 Figure Grid References4 Figure Grid References
4 Figure Grid References
 
Numbers1 31
Numbers1 31Numbers1 31
Numbers1 31
 
Shapes
ShapesShapes
Shapes
 
Place value class 3 math
Place value class 3 mathPlace value class 3 math
Place value class 3 math
 
Triangle
Triangle Triangle
Triangle
 
trigfunt
trigfunttrigfunt
trigfunt
 
#COM280 Twitter ! part 2
#COM280 Twitter ! part 2#COM280 Twitter ! part 2
#COM280 Twitter ! part 2
 
#Trigis
#Trigis#Trigis
#Trigis
 
Reviewer 1
Reviewer 1Reviewer 1
Reviewer 1
 
Symmetry, rotation, translation, reflection
Symmetry, rotation, translation, reflectionSymmetry, rotation, translation, reflection
Symmetry, rotation, translation, reflection
 
Math 1
 Math 1 Math 1
Math 1
 
4.3 Triangle Inequaltites
4.3 Triangle Inequaltites4.3 Triangle Inequaltites
4.3 Triangle Inequaltites
 
symmetry
symmetrysymmetry
symmetry
 
2 discovering with hands-on method
2 discovering with hands-on method2 discovering with hands-on method
2 discovering with hands-on method
 
2 discovering with hands-on method
2 discovering with hands-on method2 discovering with hands-on method
2 discovering with hands-on method
 
How to solve binary puzzles
How to solve binary puzzlesHow to solve binary puzzles
How to solve binary puzzles
 

Viewers also liked

2.1 Inductive Reasoning
2.1 Inductive Reasoning2.1 Inductive Reasoning
2.1 Inductive Reasoningjdrambo
 
Multiplying Decimals
Multiplying DecimalsMultiplying Decimals
Multiplying DecimalsLindsey Brown
 
3rd Quarter Review for Math
3rd Quarter Review for Math 3rd Quarter Review for Math
3rd Quarter Review for Math guesta117d2
 
4.8 congruence transformations and coordinate geometry
4.8 congruence transformations and coordinate geometry4.8 congruence transformations and coordinate geometry
4.8 congruence transformations and coordinate geometrydetwilerr
 
Gr10 mathcomplete
Gr10 mathcompleteGr10 mathcomplete
Gr10 mathcompleteIrafn
 
Integrated Math 2 Section 4-4
Integrated Math 2 Section 4-4Integrated Math 2 Section 4-4
Integrated Math 2 Section 4-4Jimbo Lamb
 
4.4 probability of compound events
4.4 probability of compound events4.4 probability of compound events
4.4 probability of compound eventshisema01
 
12.4 probability of compound events
12.4 probability of compound events12.4 probability of compound events
12.4 probability of compound eventshisema01
 
Probability Overview
Probability OverviewProbability Overview
Probability Overviewmmeddin
 
PROBABILITY
PROBABILITYPROBABILITY
PROBABILITYVIV13
 

Viewers also liked (11)

2.1 Inductive Reasoning
2.1 Inductive Reasoning2.1 Inductive Reasoning
2.1 Inductive Reasoning
 
Multiplying Decimals
Multiplying DecimalsMultiplying Decimals
Multiplying Decimals
 
3rd Quarter Review for Math
3rd Quarter Review for Math 3rd Quarter Review for Math
3rd Quarter Review for Math
 
Compound Events
Compound EventsCompound Events
Compound Events
 
4.8 congruence transformations and coordinate geometry
4.8 congruence transformations and coordinate geometry4.8 congruence transformations and coordinate geometry
4.8 congruence transformations and coordinate geometry
 
Gr10 mathcomplete
Gr10 mathcompleteGr10 mathcomplete
Gr10 mathcomplete
 
Integrated Math 2 Section 4-4
Integrated Math 2 Section 4-4Integrated Math 2 Section 4-4
Integrated Math 2 Section 4-4
 
4.4 probability of compound events
4.4 probability of compound events4.4 probability of compound events
4.4 probability of compound events
 
12.4 probability of compound events
12.4 probability of compound events12.4 probability of compound events
12.4 probability of compound events
 
Probability Overview
Probability OverviewProbability Overview
Probability Overview
 
PROBABILITY
PROBABILITYPROBABILITY
PROBABILITY
 

Similar to 4.4 And 4.5 Congruence

COT1_Math-8_PresentationAnglesTriangles.pptx
COT1_Math-8_PresentationAnglesTriangles.pptxCOT1_Math-8_PresentationAnglesTriangles.pptx
COT1_Math-8_PresentationAnglesTriangles.pptxLeoCambayaLascuaJr
 
Classifications of Triangles by Ricardo C. Lacsa
Classifications of Triangles by Ricardo C. LacsaClassifications of Triangles by Ricardo C. Lacsa
Classifications of Triangles by Ricardo C. LacsaRic Lacsa
 
TechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examplesTechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity exampleslmrhodes
 
Geometric Proofs
Geometric ProofsGeometric Proofs
Geometric Proofssbmiller87
 

Similar to 4.4 And 4.5 Congruence (6)

COT1_Math-8_PresentationAnglesTriangles.pptx
COT1_Math-8_PresentationAnglesTriangles.pptxCOT1_Math-8_PresentationAnglesTriangles.pptx
COT1_Math-8_PresentationAnglesTriangles.pptx
 
01 triangle new
01 triangle new01 triangle new
01 triangle new
 
Teacher lecture
Teacher lectureTeacher lecture
Teacher lecture
 
Classifications of Triangles by Ricardo C. Lacsa
Classifications of Triangles by Ricardo C. LacsaClassifications of Triangles by Ricardo C. Lacsa
Classifications of Triangles by Ricardo C. Lacsa
 
TechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examplesTechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examples
 
Geometric Proofs
Geometric ProofsGeometric Proofs
Geometric Proofs
 

More from jdrambo

6.2 Tangents
6.2 Tangents6.2 Tangents
6.2 Tangentsjdrambo
 
6.1 Chords And Arcs
6.1 Chords And Arcs6.1 Chords And Arcs
6.1 Chords And Arcsjdrambo
 
Reflection Piece Hw
Reflection Piece HwReflection Piece Hw
Reflection Piece Hwjdrambo
 
Review Worksheet
Review WorksheetReview Worksheet
Review Worksheetjdrambo
 
Hw Ans 5.6 And Chapter 5 Review
Hw Ans 5.6 And Chapter 5 ReviewHw Ans 5.6 And Chapter 5 Review
Hw Ans 5.6 And Chapter 5 Reviewjdrambo
 
Extra Credit
Extra CreditExtra Credit
Extra Creditjdrambo
 
5.1 And 5.2 Rambo Notes
5.1 And 5.2 Rambo Notes5.1 And 5.2 Rambo Notes
5.1 And 5.2 Rambo Notesjdrambo
 
5.5 And 5.6 Rambo Notes
5.5 And 5.6 Rambo Notes5.5 And 5.6 Rambo Notes
5.5 And 5.6 Rambo Notesjdrambo
 
5.3 And 5.4 Rambo Notes
5.3 And 5.4 Rambo Notes5.3 And 5.4 Rambo Notes
5.3 And 5.4 Rambo Notesjdrambo
 
Ch. 5 Notes
Ch. 5 NotesCh. 5 Notes
Ch. 5 Notesjdrambo
 
Slope Parallperp
Slope ParallperpSlope Parallperp
Slope Parallperpjdrambo
 
Review Ch. 4
Review Ch. 4Review Ch. 4
Review Ch. 4jdrambo
 
Review Ch. 4
Review Ch. 4Review Ch. 4
Review Ch. 4jdrambo
 
Review 4.5&4.6& Even Hw
Review 4.5&4.6& Even HwReview 4.5&4.6& Even Hw
Review 4.5&4.6& Even Hwjdrambo
 
Review 4.1 To 4.2
Review 4.1 To 4.2Review 4.1 To 4.2
Review 4.1 To 4.2jdrambo
 
Hw Answers 4.1 And 4.2
Hw Answers 4.1 And 4.2Hw Answers 4.1 And 4.2
Hw Answers 4.1 And 4.2jdrambo
 
4.2 Special Triangles
4.2 Special Triangles4.2 Special Triangles
4.2 Special Trianglesjdrambo
 
4.1 Triangle Sum
4.1 Triangle Sum4.1 Triangle Sum
4.1 Triangle Sumjdrambo
 
Chapter 3 Notes
Chapter 3 NotesChapter 3 Notes
Chapter 3 Notesjdrambo
 
S Lope Notes
S Lope NotesS Lope Notes
S Lope Notesjdrambo
 

More from jdrambo (20)

6.2 Tangents
6.2 Tangents6.2 Tangents
6.2 Tangents
 
6.1 Chords And Arcs
6.1 Chords And Arcs6.1 Chords And Arcs
6.1 Chords And Arcs
 
Reflection Piece Hw
Reflection Piece HwReflection Piece Hw
Reflection Piece Hw
 
Review Worksheet
Review WorksheetReview Worksheet
Review Worksheet
 
Hw Ans 5.6 And Chapter 5 Review
Hw Ans 5.6 And Chapter 5 ReviewHw Ans 5.6 And Chapter 5 Review
Hw Ans 5.6 And Chapter 5 Review
 
Extra Credit
Extra CreditExtra Credit
Extra Credit
 
5.1 And 5.2 Rambo Notes
5.1 And 5.2 Rambo Notes5.1 And 5.2 Rambo Notes
5.1 And 5.2 Rambo Notes
 
5.5 And 5.6 Rambo Notes
5.5 And 5.6 Rambo Notes5.5 And 5.6 Rambo Notes
5.5 And 5.6 Rambo Notes
 
5.3 And 5.4 Rambo Notes
5.3 And 5.4 Rambo Notes5.3 And 5.4 Rambo Notes
5.3 And 5.4 Rambo Notes
 
Ch. 5 Notes
Ch. 5 NotesCh. 5 Notes
Ch. 5 Notes
 
Slope Parallperp
Slope ParallperpSlope Parallperp
Slope Parallperp
 
Review Ch. 4
Review Ch. 4Review Ch. 4
Review Ch. 4
 
Review Ch. 4
Review Ch. 4Review Ch. 4
Review Ch. 4
 
Review 4.5&4.6& Even Hw
Review 4.5&4.6& Even HwReview 4.5&4.6& Even Hw
Review 4.5&4.6& Even Hw
 
Review 4.1 To 4.2
Review 4.1 To 4.2Review 4.1 To 4.2
Review 4.1 To 4.2
 
Hw Answers 4.1 And 4.2
Hw Answers 4.1 And 4.2Hw Answers 4.1 And 4.2
Hw Answers 4.1 And 4.2
 
4.2 Special Triangles
4.2 Special Triangles4.2 Special Triangles
4.2 Special Triangles
 
4.1 Triangle Sum
4.1 Triangle Sum4.1 Triangle Sum
4.1 Triangle Sum
 
Chapter 3 Notes
Chapter 3 NotesChapter 3 Notes
Chapter 3 Notes
 
S Lope Notes
S Lope NotesS Lope Notes
S Lope Notes
 

Recently uploaded

Understanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdfUnderstanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdfUK Journal
 
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...apidays
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyKhushali Kathiriya
 
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, Adobeapidays
 
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 WorkerThousandEyes
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityPrincipled Technologies
 
Automating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps ScriptAutomating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps Scriptwesley chun
 
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...Miguel Araújo
 
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 RobisonAnna Loughnan Colquhoun
 
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 2024The Digital Insurer
 
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...Drew Madelung
 
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...Principled Technologies
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc
 
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 CVKhem
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century educationjfdjdjcjdnsjd
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoffsammart93
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FMESafe Software
 
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...Neo4j
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...apidays
 
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 2024The Digital Insurer
 

Recently uploaded (20)

Understanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdfUnderstanding Discord NSFW Servers A Guide for Responsible Users.pdf
Understanding Discord NSFW Servers A Guide for Responsible Users.pdf
 
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
Apidays New York 2024 - The Good, the Bad and the Governed by David O'Neill, ...
 
Artificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : UncertaintyArtificial Intelligence Chap.5 : Uncertainty
Artificial Intelligence Chap.5 : Uncertainty
 
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
 
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
 
Boost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivityBoost PC performance: How more available memory can improve productivity
Boost PC performance: How more available memory can improve productivity
 
Automating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps ScriptAutomating Google Workspace (GWS) & more with Apps Script
Automating Google Workspace (GWS) & more with Apps Script
 
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
Mastering MySQL Database Architecture: Deep Dive into MySQL Shell and MySQL R...
 
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
 
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
 
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...
 
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...
Deploy with confidence: VMware Cloud Foundation 5.1 on next gen Dell PowerEdg...
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
 
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
 
presentation ICT roal in 21st century education
presentation ICT roal in 21st century educationpresentation ICT roal in 21st century education
presentation ICT roal in 21st century education
 
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot TakeoffStrategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
Strategize a Smooth Tenant-to-tenant Migration and Copilot Takeoff
 
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers:  A Deep Dive into Serverless Spatial Data and FMECloud Frontiers:  A Deep Dive into Serverless Spatial Data and FME
Cloud Frontiers: A Deep Dive into Serverless Spatial Data and FME
 
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...
 
Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...Apidays New York 2024 - The value of a flexible API Management solution for O...
Apidays New York 2024 - The value of a flexible API Management solution for O...
 
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
 

4.4 And 4.5 Congruence

  • 2. HW answers Pg. 216 # 1-17
  • 3.
  • 4.
  • 5.
  • 6.
  • 7. 4.4 Are there Congruence Shortcuts? pg. 219 to 224 So Triangles are the basis for construction of buildings.... WHY? Because they give more support...
  • 8. There are many different kinds of triangles and when using them you need to make sure the triangles you use are EXACTLY the same.... So how do we KNOW that triangles are congruent? -Match up measures -Match up tick marks What happens if there are seems to be not enough information?
  • 9. There are 6 different ways that the same 3 parts of a triangle are congruent.... THINK-How does the measure of an angle help determine the length of a side? REMEBER: -Longest side is across for largest angle _Medium side is across from medium angle -Shortest side is across from smallest angle The ANGLE effects the side length and vice versa
  • 10. 6 different ways to name 3 different parts of 2 triangles to SEE if they are congruent.......(pg. 219) Included Angle (angle between 2 sides) Included Side (side between 2 angles)
  • 11. So what does it mean..... Are these 2 triangles ≅ ? HOW do you know?
  • 12. What about SAS? HOW does this work? ARE the triangles congruent?
  • 13. What about SSA? HOW does this work? Are the triangles congruent?
  • 14. Can prove a counter example so SSA is NOT a congruence shortcut..
  • 15. 4.5 pg. Are there other Congruence Shortcuts? 225 to 229 What about ASA? HOW do you prove this? Does thos work as a shortcut?
  • 16. What about SAA? HOW does this work? Does it prove triangles are congruent?
  • 17. What about AAA? We already talked about this. WHY would 2 triangles not be congruent in this case?
  • 18. So which triangle shortcuts are true? Which are false? What does it all mean? If two triangles have 3 corresponding matching pieces THEN they are Congruent! BUT remember ORDER MATTERS!! If it does not match then don't force it!
  • 19. Let's see how this works......pg. 222 # 1-13 odd AND pg. 227 # 1-15 odd
  • 20.
  • 21.
  • 22.
  • 23. pg. 227 # 1-15 odd