SlideShare une entreprise Scribd logo
1  sur  5
3-3 Proving Lines Parallel
Part 2
Theorem 3-8
Through a point outside a line, there is
exactly one line parallel to the given
line.
Theorem 3-9
Through a point outside a line, there is
exactly one line perpendicular to the
given line.
Theorem 3-10
Two lines parallel to a third line are
parallel to each other.
Ways to Prove Two Lines
Parallel
1. Show that a pair of corresponding angles
are congruent.
2. Show that a pair of alternate interior angles
are congruent.
3. Show that a pair of same-side interior
angles are supplementary.
4. In a plane show that both lines are
perpendicular to a third line.
5. Show that both lines are parallel to a third
line.

Contenu connexe

Tendances

Day 13-3: Similar Polygons
Day 13-3: Similar PolygonsDay 13-3: Similar Polygons
Day 13-3: Similar PolygonsKate Nowak
 
3.3 prove lines are parallel
3.3 prove lines are parallel3.3 prove lines are parallel
3.3 prove lines are paralleldetwilerr
 
Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10Siddu Lingesh
 
Tutorials--Triangle Area and Perimeter
Tutorials--Triangle Area and PerimeterTutorials--Triangle Area and Perimeter
Tutorials--Triangle Area and PerimeterMedia4math
 
Transcript
TranscriptTranscript
Transcriptbwc2598
 
Homogeneous coordinate
Homogeneous coordinateHomogeneous coordinate
Homogeneous coordinateBed Dhakal
 
Slope and triangles edmodo
Slope and triangles edmodoSlope and triangles edmodo
Slope and triangles edmodoshumwayc
 
Practice Page
Practice PagePractice Page
Practice PageYapJesmin
 
Diagram geometry
Diagram geometryDiagram geometry
Diagram geometrySpringer
 
3 2 Properties of Parallel Lines
3 2 Properties of Parallel Lines3 2 Properties of Parallel Lines
3 2 Properties of Parallel Lineslmrogers03
 
Coordinate geometry 9 grade
Coordinate geometry 9 gradeCoordinate geometry 9 grade
Coordinate geometry 9 gradeSiddu Lingesh
 
4.11.3 Similar Right Triangles
4.11.3 Similar Right Triangles4.11.3 Similar Right Triangles
4.11.3 Similar Right Trianglessmiller5
 
Parallel lines cut by a transversal vocaulary
Parallel lines cut by a transversal vocaularyParallel lines cut by a transversal vocaulary
Parallel lines cut by a transversal vocaularymrslsarnold
 
Geom 5point3and4
Geom 5point3and4Geom 5point3and4
Geom 5point3and4herbison
 

Tendances (18)

Lines and angles
Lines and anglesLines and angles
Lines and angles
 
Day 13-3: Similar Polygons
Day 13-3: Similar PolygonsDay 13-3: Similar Polygons
Day 13-3: Similar Polygons
 
3.3 prove lines are parallel
3.3 prove lines are parallel3.3 prove lines are parallel
3.3 prove lines are parallel
 
Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10
 
5.6 terms
5.6 terms5.6 terms
5.6 terms
 
Tutorials--Triangle Area and Perimeter
Tutorials--Triangle Area and PerimeterTutorials--Triangle Area and Perimeter
Tutorials--Triangle Area and Perimeter
 
Transcript
TranscriptTranscript
Transcript
 
Gch5 l5
Gch5 l5Gch5 l5
Gch5 l5
 
Homogeneous coordinate
Homogeneous coordinateHomogeneous coordinate
Homogeneous coordinate
 
Slope and triangles edmodo
Slope and triangles edmodoSlope and triangles edmodo
Slope and triangles edmodo
 
Practice Page
Practice PagePractice Page
Practice Page
 
Diagram geometry
Diagram geometryDiagram geometry
Diagram geometry
 
3 2 Properties of Parallel Lines
3 2 Properties of Parallel Lines3 2 Properties of Parallel Lines
3 2 Properties of Parallel Lines
 
Coordinate geometry 9 grade
Coordinate geometry 9 gradeCoordinate geometry 9 grade
Coordinate geometry 9 grade
 
Knowing our number
Knowing our number Knowing our number
Knowing our number
 
4.11.3 Similar Right Triangles
4.11.3 Similar Right Triangles4.11.3 Similar Right Triangles
4.11.3 Similar Right Triangles
 
Parallel lines cut by a transversal vocaulary
Parallel lines cut by a transversal vocaularyParallel lines cut by a transversal vocaulary
Parallel lines cut by a transversal vocaulary
 
Geom 5point3and4
Geom 5point3and4Geom 5point3and4
Geom 5point3and4
 

Plus de lmrogers03

8.7 Angles of Elevation and Depression
8.7 Angles of Elevation and Depression8.7 Angles of Elevation and Depression
8.7 Angles of Elevation and Depressionlmrogers03
 
Sine and Cosine Right Triangle Geometry
Sine and Cosine Right Triangle GeometrySine and Cosine Right Triangle Geometry
Sine and Cosine Right Triangle Geometrylmrogers03
 
8 3 Converse of Pythagorean Theorem
8 3 Converse of Pythagorean Theorem8 3 Converse of Pythagorean Theorem
8 3 Converse of Pythagorean Theoremlmrogers03
 
8 1 Similarity in Right Triangles
8 1 Similarity in Right Triangles8 1 Similarity in Right Triangles
8 1 Similarity in Right Triangleslmrogers03
 
7 6 Proportional Lengths
7 6 Proportional Lengths7 6 Proportional Lengths
7 6 Proportional Lengthslmrogers03
 
7 4 Similar Triangles and t-5
7 4 Similar Triangles and t-57 4 Similar Triangles and t-5
7 4 Similar Triangles and t-5lmrogers03
 
7-3 similar polygons
7-3 similar polygons7-3 similar polygons
7-3 similar polygonslmrogers03
 
7 1 7-2 ratios and proportions
7 1 7-2 ratios and proportions7 1 7-2 ratios and proportions
7 1 7-2 ratios and proportionslmrogers03
 
6 2 Parallelograms
6 2 Parallelograms6 2 Parallelograms
6 2 Parallelogramslmrogers03
 
6 3 Proving Parallelograms
6 3 Proving Parallelograms6 3 Proving Parallelograms
6 3 Proving Parallelogramslmrogers03
 
Midpoint and distance
Midpoint and distanceMidpoint and distance
Midpoint and distancelmrogers03
 
1 6 construction
1 6 construction1 6 construction
1 6 constructionlmrogers03
 
Geometry Angle Pairs
Geometry Angle PairsGeometry Angle Pairs
Geometry Angle Pairslmrogers03
 
Geo final exam review
Geo final exam reviewGeo final exam review
Geo final exam reviewlmrogers03
 
Equations of circles
Equations of circlesEquations of circles
Equations of circleslmrogers03
 
6 5 Inequalities in Two Triangles
6 5 Inequalities in Two Triangles6 5 Inequalities in Two Triangles
6 5 Inequalities in Two Triangleslmrogers03
 
6 4 Inequalities in One Triangle
6 4 Inequalities in One Triangle6 4 Inequalities in One Triangle
6 4 Inequalities in One Trianglelmrogers03
 

Plus de lmrogers03 (20)

8.7 Angles of Elevation and Depression
8.7 Angles of Elevation and Depression8.7 Angles of Elevation and Depression
8.7 Angles of Elevation and Depression
 
Sine and Cosine Right Triangle Geometry
Sine and Cosine Right Triangle GeometrySine and Cosine Right Triangle Geometry
Sine and Cosine Right Triangle Geometry
 
Tangent Ratio
Tangent RatioTangent Ratio
Tangent Ratio
 
8 3 Converse of Pythagorean Theorem
8 3 Converse of Pythagorean Theorem8 3 Converse of Pythagorean Theorem
8 3 Converse of Pythagorean Theorem
 
8 1 Similarity in Right Triangles
8 1 Similarity in Right Triangles8 1 Similarity in Right Triangles
8 1 Similarity in Right Triangles
 
7 6 Proportional Lengths
7 6 Proportional Lengths7 6 Proportional Lengths
7 6 Proportional Lengths
 
7 4 Similar Triangles and t-5
7 4 Similar Triangles and t-57 4 Similar Triangles and t-5
7 4 Similar Triangles and t-5
 
7-3 similar polygons
7-3 similar polygons7-3 similar polygons
7-3 similar polygons
 
7 1 7-2 ratios and proportions
7 1 7-2 ratios and proportions7 1 7-2 ratios and proportions
7 1 7-2 ratios and proportions
 
6 2 Parallelograms
6 2 Parallelograms6 2 Parallelograms
6 2 Parallelograms
 
6 3 Proving Parallelograms
6 3 Proving Parallelograms6 3 Proving Parallelograms
6 3 Proving Parallelograms
 
Midpoint and distance
Midpoint and distanceMidpoint and distance
Midpoint and distance
 
1 6 construction
1 6 construction1 6 construction
1 6 construction
 
Geometry Angle Pairs
Geometry Angle PairsGeometry Angle Pairs
Geometry Angle Pairs
 
1 4angles
1 4angles1 4angles
1 4angles
 
1 3
1 31 3
1 3
 
Geo final exam review
Geo final exam reviewGeo final exam review
Geo final exam review
 
Equations of circles
Equations of circlesEquations of circles
Equations of circles
 
6 5 Inequalities in Two Triangles
6 5 Inequalities in Two Triangles6 5 Inequalities in Two Triangles
6 5 Inequalities in Two Triangles
 
6 4 Inequalities in One Triangle
6 4 Inequalities in One Triangle6 4 Inequalities in One Triangle
6 4 Inequalities in One Triangle
 

Dernier

Understanding the Laravel MVC Architecture
Understanding the Laravel MVC ArchitectureUnderstanding the Laravel MVC Architecture
Understanding the Laravel MVC ArchitecturePixlogix Infotech
 
My Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationMy Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationRidwan Fadjar
 
SQL Database Design For Developers at php[tek] 2024
SQL Database Design For Developers at php[tek] 2024SQL Database Design For Developers at php[tek] 2024
SQL Database Design For Developers at php[tek] 2024Scott Keck-Warren
 
08448380779 Call Girls In Friends Colony Women Seeking Men
08448380779 Call Girls In Friends Colony Women Seeking Men08448380779 Call Girls In Friends Colony Women Seeking Men
08448380779 Call Girls In Friends Colony Women Seeking MenDelhi Call girls
 
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024BookNet Canada
 
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...HostedbyConfluent
 
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 3652toLead Limited
 
Maximizing Board Effectiveness 2024 Webinar.pptx
Maximizing Board Effectiveness 2024 Webinar.pptxMaximizing Board Effectiveness 2024 Webinar.pptx
Maximizing Board Effectiveness 2024 Webinar.pptxOnBoard
 
08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking Men08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking MenDelhi Call girls
 
A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024Results
 
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...Neo4j
 
Slack Application Development 101 Slides
Slack Application Development 101 SlidesSlack Application Development 101 Slides
Slack Application Development 101 Slidespraypatel2
 
The Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptxThe Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptxMalak Abu Hammad
 
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
 
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.pptxHampshireHUG
 
08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking Men08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking MenDelhi Call girls
 
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 organizationRadu Cotescu
 
Google AI Hackathon: LLM based Evaluator for RAG
Google AI Hackathon: LLM based Evaluator for RAGGoogle AI Hackathon: LLM based Evaluator for RAG
Google AI Hackathon: LLM based Evaluator for RAGSujit Pal
 
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhi
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | DelhiFULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhi
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhisoniya singh
 
Swan(sea) Song – personal research during my six years at Swansea ... and bey...
Swan(sea) Song – personal research during my six years at Swansea ... and bey...Swan(sea) Song – personal research during my six years at Swansea ... and bey...
Swan(sea) Song – personal research during my six years at Swansea ... and bey...Alan Dix
 

Dernier (20)

Understanding the Laravel MVC Architecture
Understanding the Laravel MVC ArchitectureUnderstanding the Laravel MVC Architecture
Understanding the Laravel MVC Architecture
 
My Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 PresentationMy Hashitalk Indonesia April 2024 Presentation
My Hashitalk Indonesia April 2024 Presentation
 
SQL Database Design For Developers at php[tek] 2024
SQL Database Design For Developers at php[tek] 2024SQL Database Design For Developers at php[tek] 2024
SQL Database Design For Developers at php[tek] 2024
 
08448380779 Call Girls In Friends Colony Women Seeking Men
08448380779 Call Girls In Friends Colony Women Seeking Men08448380779 Call Girls In Friends Colony Women Seeking Men
08448380779 Call Girls In Friends Colony Women Seeking Men
 
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024
Transcript: #StandardsGoals for 2024: What’s new for BISAC - Tech Forum 2024
 
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...
Transforming Data Streams with Kafka Connect: An Introduction to Single Messa...
 
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365
Tech-Forward - Achieving Business Readiness For Copilot in Microsoft 365
 
Maximizing Board Effectiveness 2024 Webinar.pptx
Maximizing Board Effectiveness 2024 Webinar.pptxMaximizing Board Effectiveness 2024 Webinar.pptx
Maximizing Board Effectiveness 2024 Webinar.pptx
 
08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking Men08448380779 Call Girls In Greater Kailash - I Women Seeking Men
08448380779 Call Girls In Greater Kailash - I Women Seeking Men
 
A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024A Call to Action for Generative AI in 2024
A Call to Action for Generative AI in 2024
 
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...
Neo4j - How KGs are shaping the future of Generative AI at AWS Summit London ...
 
Slack Application Development 101 Slides
Slack Application Development 101 SlidesSlack Application Development 101 Slides
Slack Application Development 101 Slides
 
The Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptxThe Codex of Business Writing Software for Real-World Solutions 2.pptx
The Codex of Business Writing Software for Real-World Solutions 2.pptx
 
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
 
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
 
08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking Men08448380779 Call Girls In Civil Lines Women Seeking Men
08448380779 Call Girls In Civil Lines Women Seeking Men
 
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
 
Google AI Hackathon: LLM based Evaluator for RAG
Google AI Hackathon: LLM based Evaluator for RAGGoogle AI Hackathon: LLM based Evaluator for RAG
Google AI Hackathon: LLM based Evaluator for RAG
 
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhi
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | DelhiFULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhi
FULL ENJOY 🔝 8264348440 🔝 Call Girls in Diplomatic Enclave | Delhi
 
Swan(sea) Song – personal research during my six years at Swansea ... and bey...
Swan(sea) Song – personal research during my six years at Swansea ... and bey...Swan(sea) Song – personal research during my six years at Swansea ... and bey...
Swan(sea) Song – personal research during my six years at Swansea ... and bey...
 

3 3 Part 2 Proving Lines Parallel

  • 1. 3-3 Proving Lines Parallel Part 2
  • 2. Theorem 3-8 Through a point outside a line, there is exactly one line parallel to the given line.
  • 3. Theorem 3-9 Through a point outside a line, there is exactly one line perpendicular to the given line.
  • 4. Theorem 3-10 Two lines parallel to a third line are parallel to each other.
  • 5. Ways to Prove Two Lines Parallel 1. Show that a pair of corresponding angles are congruent. 2. Show that a pair of alternate interior angles are congruent. 3. Show that a pair of same-side interior angles are supplementary. 4. In a plane show that both lines are perpendicular to a third line. 5. Show that both lines are parallel to a third line.