SlideShare a Scribd company logo
Parallel Lines and Transversals
Parallel Lines and Transversals What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol  ||  is used to indicate parallel lines. AB  ||  CD
Parallel Lines and Transversals A slash through the parallel symbol  ||  indicates the lines are  not  parallel. AB  ||  CD
Parallel Lines and Transversals Transversal - A transversal is a line which intersects two or more lines in a plane.  The intersected lines do not have to be parallel. Lines j, k, and m are intersected by line t.  Therefore,  line t  is a  transversal  of lines j, k, and m.
Parallel Lines and Transversals Identifying Angles -   1 2 3 4 5 6 7 8 Exterior angles  are on the  exterior  of the two lines cut by the transversal. The exterior angles are: <1, <7, <2, <8
Parallel Lines and Transversals Identifying Angles -   1 2 3 4 5 6 7 8 Interior angles  are on the  interior   of the two lines cut by the transversal. The interior angles are: <3, <5, <4, <6
Parallel Lines and Transversals Identifying Angles -   1 2 3 4 5 6 7 8 Alternate interior angles  are on the  interior  of the two lines and on  opposite     sides of the    transversal. Alternate interior angles are: <3 & <6, <4 & <5
Parallel Lines and Transversals Identifying Angles -   1 2 3 4 5 6 7 8 Alternate exterior angles  are on the  exterior  of the two lines and on  opposite  sides of the transversal. Alternate exterior angles are: <1 & <8, <2 & <7
Parallel Lines and Transversals Identifying Angles -   1 2 3 4 5 6 7 8 Corresponding angles  are on the  corresponding   side of the two lines and on the  same  side of the transversal. Corresponding angles are: <1 & <5, <3 & <7, <2 & <6, <4 & <8
Parallel Lines and Transversals 2.  < 2 and < 10 are alternate interior angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement. 1. Line  r  is a transversal of lines  p  and  q .
Parallel Lines and Transversals 2. < 2 and < 10 are alternate interior angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement. 1. Line  r  is a transversal of lines  p  and  q . True – Line  r  intersects both lines in a plane. False - The angles are corresponding angles on transversal p.
Parallel Lines and Transversals 4.  < 1 and < 15 are alternate exterior angles. ,[object Object],Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement.
Parallel Lines and Transversals 4.  < 1 and  < 15 are alternate exterior angles. 3.  < 3 and  < 5 are alternate interior angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement. False – The angles are vertical angles created by the intersection of  q  and  r . True - The angles are alternate exterior angles on transversal p.
Parallel Lines and Transversals 6.   < 10 and < 11 are consecutive interior angles. 5.  < 6 and < 12 are alternate interior angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement.
Parallel Lines and Transversals 6.   < 10 and < 11 are consecutive interior angles. 5.  < 6 and < 12 are alternate interior angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false.  If false, correct the statement. True – The angles are alternate interior angles on transversal  q . True – The angles are consecutive interior angles on transversal  s .
Parallel Lines and Transversals Determine if the statement is true or false.  If false, correct the statement. 7.  < 3 and < 4 are alternate exterior angles. 8.  < 16 and  < 14 are corresponding angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Parallel Lines and Transversals Determine if the statement is true or false.  If false, correct the statement. 7.  < 3 and < 4 are alternate exterior angles. 8.  < 16 and  < 14 are corresponding angles. Identifying Angles –  Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 False– The angles are adjacent angles on transversal  r . True – The angles are corresponding angles on transversal  s .

More Related Content

What's hot

Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)
Romne Ryan Portacion
 
Angles formed by parallel lines cut by transversal
Angles formed by parallel lines cut by transversalAngles formed by parallel lines cut by transversal
Angles formed by parallel lines cut by transversal
May Bundang
 
Geometry Power Point 5th grade
Geometry Power Point 5th gradeGeometry Power Point 5th grade
Geometry Power Point 5th grade
gponterio
 
sum of interior and exterior angles in polygons
   sum of interior and exterior angles in polygons   sum of interior and exterior angles in polygons
sum of interior and exterior angles in polygons
Aneesha Jesmin
 
Similar figures and_proportions
Similar figures and_proportionsSimilar figures and_proportions
Similar figures and_proportions
karen wagoner
 
Parallel and perpendicular lines
Parallel and perpendicular linesParallel and perpendicular lines
Parallel and perpendicular lines
jennyelsoury
 
Points, Lines and Planes
Points, Lines and PlanesPoints, Lines and Planes
Points, Lines and Planes
ranzzley
 
Angles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure ThemAngles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure Themjbouchard24
 
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Math 7 geometry 04   angles, parallel lines, and transversals - grade 7Math 7 geometry 04   angles, parallel lines, and transversals - grade 7
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Gilbert Joseph Abueg
 
Classifying and Measuring Angles
Classifying and Measuring AnglesClassifying and Measuring Angles
Classifying and Measuring Angles
Brandy Broussard
 
Math 7 geometry 02 postulates and theorems on points, lines, and planes
Math 7 geometry 02   postulates and theorems on points, lines, and planesMath 7 geometry 02   postulates and theorems on points, lines, and planes
Math 7 geometry 02 postulates and theorems on points, lines, and planes
Gilbert Joseph Abueg
 
1-25/10 Interior and Exterior Angles
1-25/10 Interior and Exterior Angles1-25/10 Interior and Exterior Angles
1-25/10 Interior and Exterior AnglesBrandeis High School
 
Congruent Triangles
Congruent TrianglesCongruent Triangles
Congruent Triangles
Vincent de Ocampo
 
Basic geometry
Basic geometryBasic geometry
Basic geometry
Rose Embajador
 
Law of sines
Law of sinesLaw of sines
Law of sines
Transweb Global Inc
 
Polygons powerpoint
Polygons powerpointPolygons powerpoint
Polygons powerpointejboggs
 
TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREMTRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREM
MichaellaApale
 

What's hot (20)

Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)Mathematics 7: Angles (naming, types and how to measure them)
Mathematics 7: Angles (naming, types and how to measure them)
 
Angles ppt
Angles pptAngles ppt
Angles ppt
 
Angles formed by parallel lines cut by transversal
Angles formed by parallel lines cut by transversalAngles formed by parallel lines cut by transversal
Angles formed by parallel lines cut by transversal
 
Geometry Power Point 5th grade
Geometry Power Point 5th gradeGeometry Power Point 5th grade
Geometry Power Point 5th grade
 
sum of interior and exterior angles in polygons
   sum of interior and exterior angles in polygons   sum of interior and exterior angles in polygons
sum of interior and exterior angles in polygons
 
Similar figures and_proportions
Similar figures and_proportionsSimilar figures and_proportions
Similar figures and_proportions
 
Parallel and perpendicular lines
Parallel and perpendicular linesParallel and perpendicular lines
Parallel and perpendicular lines
 
Points, Lines and Planes
Points, Lines and PlanesPoints, Lines and Planes
Points, Lines and Planes
 
Angles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure ThemAngles: Naming, Types, and How to Measure Them
Angles: Naming, Types, and How to Measure Them
 
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Math 7 geometry 04   angles, parallel lines, and transversals - grade 7Math 7 geometry 04   angles, parallel lines, and transversals - grade 7
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
 
Classifying and Measuring Angles
Classifying and Measuring AnglesClassifying and Measuring Angles
Classifying and Measuring Angles
 
Math 7 geometry 02 postulates and theorems on points, lines, and planes
Math 7 geometry 02   postulates and theorems on points, lines, and planesMath 7 geometry 02   postulates and theorems on points, lines, and planes
Math 7 geometry 02 postulates and theorems on points, lines, and planes
 
1-25/10 Interior and Exterior Angles
1-25/10 Interior and Exterior Angles1-25/10 Interior and Exterior Angles
1-25/10 Interior and Exterior Angles
 
Transversal Line
Transversal LineTransversal Line
Transversal Line
 
Congruent Triangles
Congruent TrianglesCongruent Triangles
Congruent Triangles
 
Basic geometry
Basic geometryBasic geometry
Basic geometry
 
Law of sines
Law of sinesLaw of sines
Law of sines
 
Polygons powerpoint
Polygons powerpointPolygons powerpoint
Polygons powerpoint
 
TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREMTRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREM
 
Sequences
SequencesSequences
Sequences
 

Viewers also liked

Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptAngle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptNisha Sharma
 
angles of parallel line cut by a transversal line
angles of parallel line cut by a transversal lineangles of parallel line cut by a transversal line
angles of parallel line cut by a transversal lineLovely Jane Lariego
 
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
 
Unit 1 foundations of geometry
Unit 1   foundations of geometryUnit 1   foundations of geometry
Unit 1 foundations of geometryHayde Rivas
 
3.2 use parallel lines and transversals
3.2 use parallel lines and transversals3.2 use parallel lines and transversals
3.2 use parallel lines and transversalsdetwilerr
 
Pairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversalPairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversal
Elton John Embodo
 
Geo 3.1 notes_angle_pairs_parallel
Geo 3.1 notes_angle_pairs_parallelGeo 3.1 notes_angle_pairs_parallel
Geo 3.1 notes_angle_pairs_parallel
Jonathan Fjelstrom
 
Technology Lesson Plan Assignment: Quadratice Functions
Technology Lesson Plan Assignment: Quadratice FunctionsTechnology Lesson Plan Assignment: Quadratice Functions
Technology Lesson Plan Assignment: Quadratice Functionsdart11746
 
Pairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversalPairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversal
Elton John Embodo
 
Chapter 5 Slopes of Parallel and Perpendicular Lines
Chapter 5 Slopes of Parallel and Perpendicular LinesChapter 5 Slopes of Parallel and Perpendicular Lines
Chapter 5 Slopes of Parallel and Perpendicular LinesIinternational Program School
 
Transversal.lines.3rdyr
Transversal.lines.3rdyrTransversal.lines.3rdyr
Transversal.lines.3rdyrAllan Gulinao
 
How to draw parallel and perpendicular lines
How to draw parallel and perpendicular linesHow to draw parallel and perpendicular lines
How to draw parallel and perpendicular lineslauhatkazira
 
Parallel lines
Parallel linesParallel lines
Geometry In The Real World
Geometry In The Real WorldGeometry In The Real World
Geometry In The Real World
Canute Jacobsen
 
Parallel Lines
Parallel LinesParallel Lines
Parallel Linesjennr21
 
Parallelism and perpendicularity
Parallelism and perpendicularityParallelism and perpendicularity
Parallelism and perpendicularity
salvie alvaro
 
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
Elton John Embodo
 
Volume and capacity
Volume and capacityVolume and capacity
Volume and capacity
Shannonlearningspace
 
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Linesvmonacelli
 

Viewers also liked (20)

Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-pptAngle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
Angle measures-parallel-lines-cut-by-a-transversal-ppt--tmi-lsn-6.01-ppt
 
angles of parallel line cut by a transversal line
angles of parallel line cut by a transversal lineangles of parallel line cut by a transversal line
angles of parallel line cut by a transversal line
 
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
 
Unit 1 foundations of geometry
Unit 1   foundations of geometryUnit 1   foundations of geometry
Unit 1 foundations of geometry
 
3.2 use parallel lines and transversals
3.2 use parallel lines and transversals3.2 use parallel lines and transversals
3.2 use parallel lines and transversals
 
Pairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversalPairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversal
 
Geo 3.1 notes_angle_pairs_parallel
Geo 3.1 notes_angle_pairs_parallelGeo 3.1 notes_angle_pairs_parallel
Geo 3.1 notes_angle_pairs_parallel
 
Technology Lesson Plan Assignment: Quadratice Functions
Technology Lesson Plan Assignment: Quadratice FunctionsTechnology Lesson Plan Assignment: Quadratice Functions
Technology Lesson Plan Assignment: Quadratice Functions
 
Pairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversalPairs of angles formed by parallel lines cut by a transversal
Pairs of angles formed by parallel lines cut by a transversal
 
Chapter 5 Slopes of Parallel and Perpendicular Lines
Chapter 5 Slopes of Parallel and Perpendicular LinesChapter 5 Slopes of Parallel and Perpendicular Lines
Chapter 5 Slopes of Parallel and Perpendicular Lines
 
Transversal.lines.3rdyr
Transversal.lines.3rdyrTransversal.lines.3rdyr
Transversal.lines.3rdyr
 
How to draw parallel and perpendicular lines
How to draw parallel and perpendicular linesHow to draw parallel and perpendicular lines
How to draw parallel and perpendicular lines
 
The Pythagorean Theorem
The Pythagorean TheoremThe Pythagorean Theorem
The Pythagorean Theorem
 
Parallel lines
Parallel linesParallel lines
Parallel lines
 
Geometry In The Real World
Geometry In The Real WorldGeometry In The Real World
Geometry In The Real World
 
Parallel Lines
Parallel LinesParallel Lines
Parallel Lines
 
Parallelism and perpendicularity
Parallelism and perpendicularityParallelism and perpendicularity
Parallelism and perpendicularity
 
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
Pairs of Angles Formed by two Parallel Lines Cut by a Transversal-Best lesson...
 
Volume and capacity
Volume and capacityVolume and capacity
Volume and capacity
 
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
 

Similar to Parallel Lines with Transversals

Geom 3point1and2
Geom 3point1and2Geom 3point1and2
Geom 3point1and2herbison
 
Geom 3point1and2
Geom 3point1and2Geom 3point1and2
Geom 3point1and2herbison
 
2.4.1 Parallel Lines and Transversals
2.4.1 Parallel Lines and Transversals2.4.1 Parallel Lines and Transversals
2.4.1 Parallel Lines and Transversals
smiller5
 
LINES AND ANGLES.pptx
LINES AND ANGLES.pptxLINES AND ANGLES.pptx
LINES AND ANGLES.pptx
MaritesBarredo
 
Q3-Module 3 Parallel Lines Cut by a Transversal 2024.pptx
Q3-Module 3 Parallel Lines Cut by a Transversal  2024.pptxQ3-Module 3 Parallel Lines Cut by a Transversal  2024.pptx
Q3-Module 3 Parallel Lines Cut by a Transversal 2024.pptx
Phil Acuña
 
Obj. 12 Parallel Lines
Obj. 12 Parallel LinesObj. 12 Parallel Lines
Obj. 12 Parallel Linessmiller5
 
Parallel lines Again
Parallel lines AgainParallel lines Again
Parallel lines Againjennr21
 
1.4.1 Parallel Lines and Transversals
1.4.1 Parallel Lines and Transversals1.4.1 Parallel Lines and Transversals
1.4.1 Parallel Lines and Transversals
smiller5
 
1.3.2A Parallel Lines
1.3.2A Parallel Lines1.3.2A Parallel Lines
1.3.2A Parallel Lines
smiller5
 
Parallel Lines Initial Definitions and Theorems
Parallel Lines Initial Definitions and TheoremsParallel Lines Initial Definitions and Theorems
Parallel Lines Initial Definitions and Theorems
k3smith_ODU
 
Geo journal 3
Geo journal 3Geo journal 3
Geo journal 3
Ignacio Rodriguez
 
Geo journal 3
Geo journal 3Geo journal 3
Geo journal 3
Ignacio Rodriguez
 
Section2 1definitionsandtheorems
Section2 1definitionsandtheoremsSection2 1definitionsandtheorems
Section2 1definitionsandtheorems
Janae B. Tull
 
Section 2 1 definitions and theorems
Section 2 1 definitions and theoremsSection 2 1 definitions and theorems
Section 2 1 definitions and theorems
Janae B. Tull
 
transversal.pptx
transversal.pptxtransversal.pptx
transversal.pptx
JuneSabatin
 
Geometry Section 2-7
Geometry Section 2-7Geometry Section 2-7
Geometry Section 2-7
Jimbo Lamb
 
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptxPROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
JerichoGerance
 
Parallelism_parallel lines cut by a transversal.ppt
Parallelism_parallel lines cut by a transversal.pptParallelism_parallel lines cut by a transversal.ppt
Parallelism_parallel lines cut by a transversal.ppt
regiebalios23
 
SIM Angles Formed by Parallel Lines cut by a Transversal
SIM Angles Formed by Parallel Lines cut by a TransversalSIM Angles Formed by Parallel Lines cut by a Transversal
SIM Angles Formed by Parallel Lines cut by a Transversal
angelamorales78
 
Geometry unit 3.1.3.3
Geometry unit 3.1.3.3Geometry unit 3.1.3.3
Geometry unit 3.1.3.3
Mark Ryder
 

Similar to Parallel Lines with Transversals (20)

Geom 3point1and2
Geom 3point1and2Geom 3point1and2
Geom 3point1and2
 
Geom 3point1and2
Geom 3point1and2Geom 3point1and2
Geom 3point1and2
 
2.4.1 Parallel Lines and Transversals
2.4.1 Parallel Lines and Transversals2.4.1 Parallel Lines and Transversals
2.4.1 Parallel Lines and Transversals
 
LINES AND ANGLES.pptx
LINES AND ANGLES.pptxLINES AND ANGLES.pptx
LINES AND ANGLES.pptx
 
Q3-Module 3 Parallel Lines Cut by a Transversal 2024.pptx
Q3-Module 3 Parallel Lines Cut by a Transversal  2024.pptxQ3-Module 3 Parallel Lines Cut by a Transversal  2024.pptx
Q3-Module 3 Parallel Lines Cut by a Transversal 2024.pptx
 
Obj. 12 Parallel Lines
Obj. 12 Parallel LinesObj. 12 Parallel Lines
Obj. 12 Parallel Lines
 
Parallel lines Again
Parallel lines AgainParallel lines Again
Parallel lines Again
 
1.4.1 Parallel Lines and Transversals
1.4.1 Parallel Lines and Transversals1.4.1 Parallel Lines and Transversals
1.4.1 Parallel Lines and Transversals
 
1.3.2A Parallel Lines
1.3.2A Parallel Lines1.3.2A Parallel Lines
1.3.2A Parallel Lines
 
Parallel Lines Initial Definitions and Theorems
Parallel Lines Initial Definitions and TheoremsParallel Lines Initial Definitions and Theorems
Parallel Lines Initial Definitions and Theorems
 
Geo journal 3
Geo journal 3Geo journal 3
Geo journal 3
 
Geo journal 3
Geo journal 3Geo journal 3
Geo journal 3
 
Section2 1definitionsandtheorems
Section2 1definitionsandtheoremsSection2 1definitionsandtheorems
Section2 1definitionsandtheorems
 
Section 2 1 definitions and theorems
Section 2 1 definitions and theoremsSection 2 1 definitions and theorems
Section 2 1 definitions and theorems
 
transversal.pptx
transversal.pptxtransversal.pptx
transversal.pptx
 
Geometry Section 2-7
Geometry Section 2-7Geometry Section 2-7
Geometry Section 2-7
 
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptxPROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
PROVING-PROPERTIES-OF-PARALLEL-LINES-CUT-BY-TRANSVERSAL.pptx
 
Parallelism_parallel lines cut by a transversal.ppt
Parallelism_parallel lines cut by a transversal.pptParallelism_parallel lines cut by a transversal.ppt
Parallelism_parallel lines cut by a transversal.ppt
 
SIM Angles Formed by Parallel Lines cut by a Transversal
SIM Angles Formed by Parallel Lines cut by a TransversalSIM Angles Formed by Parallel Lines cut by a Transversal
SIM Angles Formed by Parallel Lines cut by a Transversal
 
Geometry unit 3.1.3.3
Geometry unit 3.1.3.3Geometry unit 3.1.3.3
Geometry unit 3.1.3.3
 

Recently uploaded

Bits & Pixels using AI for Good.........
Bits & Pixels using AI for Good.........Bits & Pixels using AI for Good.........
Bits & Pixels using AI for Good.........
Alison B. Lowndes
 
Generating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using SmithyGenerating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using Smithy
g2nightmarescribd
 
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Product School
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
Product School
 
Knowledge engineering: from people to machines and back
Knowledge engineering: from people to machines and backKnowledge engineering: from people to machines and back
Knowledge engineering: from people to machines and back
Elena Simperl
 
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
UiPathCommunity
 
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
BookNet Canada
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
DianaGray10
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
Thijs Feryn
 
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMsTo Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
Paul Groth
 
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
Product School
 
The Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and SalesThe Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and Sales
Laura Byrne
 
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
Albert Hoitingh
 
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdfFIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
FIDO Alliance
 
Securing your Kubernetes cluster_ a step-by-step guide to success !
Securing your Kubernetes cluster_ a step-by-step guide to success !Securing your Kubernetes cluster_ a step-by-step guide to success !
Securing your Kubernetes cluster_ a step-by-step guide to success !
KatiaHIMEUR1
 
Leading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdfLeading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdf
OnBoard
 
Assuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyesAssuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyes
ThousandEyes
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Thierry Lestable
 
Key Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdfKey Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdf
Cheryl Hung
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance
 

Recently uploaded (20)

Bits & Pixels using AI for Good.........
Bits & Pixels using AI for Good.........Bits & Pixels using AI for Good.........
Bits & Pixels using AI for Good.........
 
Generating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using SmithyGenerating a custom Ruby SDK for your web service or Rails API using Smithy
Generating a custom Ruby SDK for your web service or Rails API using Smithy
 
Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...Mission to Decommission: Importance of Decommissioning Products to Increase E...
Mission to Decommission: Importance of Decommissioning Products to Increase E...
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
 
Knowledge engineering: from people to machines and back
Knowledge engineering: from people to machines and backKnowledge engineering: from people to machines and back
Knowledge engineering: from people to machines and back
 
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...
 
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
 
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMsTo Graph or Not to Graph Knowledge Graph Architectures and LLMs
To Graph or Not to Graph Knowledge Graph Architectures and LLMs
 
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
From Daily Decisions to Bottom Line: Connecting Product Work to Revenue by VP...
 
The Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and SalesThe Art of the Pitch: WordPress Relationships and Sales
The Art of the Pitch: WordPress Relationships and Sales
 
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
Encryption in Microsoft 365 - ExpertsLive Netherlands 2024
 
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdfFIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
FIDO Alliance Osaka Seminar: FIDO Security Aspects.pdf
 
Securing your Kubernetes cluster_ a step-by-step guide to success !
Securing your Kubernetes cluster_ a step-by-step guide to success !Securing your Kubernetes cluster_ a step-by-step guide to success !
Securing your Kubernetes cluster_ a step-by-step guide to success !
 
Leading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdfLeading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdf
 
Assuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyesAssuring Contact Center Experiences for Your Customers With ThousandEyes
Assuring Contact Center Experiences for Your Customers With ThousandEyes
 
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
Empowering NextGen Mobility via Large Action Model Infrastructure (LAMI): pav...
 
Key Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdfKey Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdf
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
 

Parallel Lines with Transversals

  • 1. Parallel Lines and Transversals
  • 2. Parallel Lines and Transversals What would you call two lines which do not intersect? Parallel A solid arrow placed on two lines of a diagram indicate the lines are parallel. The symbol || is used to indicate parallel lines. AB || CD
  • 3. Parallel Lines and Transversals A slash through the parallel symbol || indicates the lines are not parallel. AB || CD
  • 4. Parallel Lines and Transversals Transversal - A transversal is a line which intersects two or more lines in a plane. The intersected lines do not have to be parallel. Lines j, k, and m are intersected by line t. Therefore, line t is a transversal of lines j, k, and m.
  • 5. Parallel Lines and Transversals Identifying Angles - 1 2 3 4 5 6 7 8 Exterior angles are on the exterior of the two lines cut by the transversal. The exterior angles are: <1, <7, <2, <8
  • 6. Parallel Lines and Transversals Identifying Angles - 1 2 3 4 5 6 7 8 Interior angles are on the interior of the two lines cut by the transversal. The interior angles are: <3, <5, <4, <6
  • 7. Parallel Lines and Transversals Identifying Angles - 1 2 3 4 5 6 7 8 Alternate interior angles are on the interior of the two lines and on opposite sides of the transversal. Alternate interior angles are: <3 & <6, <4 & <5
  • 8. Parallel Lines and Transversals Identifying Angles - 1 2 3 4 5 6 7 8 Alternate exterior angles are on the exterior of the two lines and on opposite sides of the transversal. Alternate exterior angles are: <1 & <8, <2 & <7
  • 9. Parallel Lines and Transversals Identifying Angles - 1 2 3 4 5 6 7 8 Corresponding angles are on the corresponding side of the two lines and on the same side of the transversal. Corresponding angles are: <1 & <5, <3 & <7, <2 & <6, <4 & <8
  • 10. Parallel Lines and Transversals 2. < 2 and < 10 are alternate interior angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. 1. Line r is a transversal of lines p and q .
  • 11. Parallel Lines and Transversals 2. < 2 and < 10 are alternate interior angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. 1. Line r is a transversal of lines p and q . True – Line r intersects both lines in a plane. False - The angles are corresponding angles on transversal p.
  • 12.
  • 13. Parallel Lines and Transversals 4. < 1 and < 15 are alternate exterior angles. 3. < 3 and < 5 are alternate interior angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. False – The angles are vertical angles created by the intersection of q and r . True - The angles are alternate exterior angles on transversal p.
  • 14. Parallel Lines and Transversals 6. < 10 and < 11 are consecutive interior angles. 5. < 6 and < 12 are alternate interior angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement.
  • 15. Parallel Lines and Transversals 6. < 10 and < 11 are consecutive interior angles. 5. < 6 and < 12 are alternate interior angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Determine if the statement is true or false. If false, correct the statement. True – The angles are alternate interior angles on transversal q . True – The angles are consecutive interior angles on transversal s .
  • 16. Parallel Lines and Transversals Determine if the statement is true or false. If false, correct the statement. 7. < 3 and < 4 are alternate exterior angles. 8. < 16 and < 14 are corresponding angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
  • 17. Parallel Lines and Transversals Determine if the statement is true or false. If false, correct the statement. 7. < 3 and < 4 are alternate exterior angles. 8. < 16 and < 14 are corresponding angles. Identifying Angles – Check for Understanding 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 False– The angles are adjacent angles on transversal r . True – The angles are corresponding angles on transversal s .