SlideShare a Scribd company logo
1 of 9
[object Object],Given the lengths of two sides of a triangle. Write an inequality to express the third side. Example 1: 7.8 cm, 13.2 cm Example 2: 9 in, 17.6 in Example 3: 2 in, 19 in
1 A B C 2 3 Comparisons “ across from” AC    <2 AB       <3 BC    <1
Name the longest side and largest angle. A B C 19 17 15 D E F 28 18 21 G H I 35 ° 65 °
Opposite Side-Angle Theorem ,[object Object],Opposite Angle-Side Theorem - If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Practice A B C m<A   >  m<B , so:  ________________ Theorem
Practice D E F DF  >  EF, so:  ________________ Theorem  1 2 3
Practice G H I GI  >  HI, so:  ________________ Theorem  1 2 3
You try! X Y Z YZ  >  YX, so:  ________________ Theorem  1 2 3 L M N <1  >  <2  EF, so:  ________________ Theorem  1 2 3
 

More Related Content

What's hot

Triangles -Classroom presentation
Triangles -Classroom presentationTriangles -Classroom presentation
Triangles -Classroom presentationKavita Grover
 
Congruents of Triangle
Congruents of TriangleCongruents of Triangle
Congruents of TriangleDaisy Linihan
 
Geometry 201 unit 4.2
Geometry 201 unit 4.2Geometry 201 unit 4.2
Geometry 201 unit 4.2Mark Ryder
 
Geometry the congruence of triangles
Geometry the congruence of trianglesGeometry the congruence of triangles
Geometry the congruence of trianglesMadhavi Mahajan
 
11 X1 T06 03 Congruent Triangles
11 X1 T06 03 Congruent Triangles11 X1 T06 03 Congruent Triangles
11 X1 T06 03 Congruent TrianglesNigel Simmons
 
11-4 lines and angles
11-4 lines and angles11-4 lines and angles
11-4 lines and anglesah16595n
 
TechMathI - 4.1 - Congruent Triangles
TechMathI - 4.1 - Congruent TrianglesTechMathI - 4.1 - Congruent Triangles
TechMathI - 4.1 - Congruent Triangleslmrhodes
 
Geometry 201 unit 4.3
Geometry 201 unit 4.3Geometry 201 unit 4.3
Geometry 201 unit 4.3Mark Ryder
 
FEATURES OF TRIANGLES
FEATURES OF TRIANGLESFEATURES OF TRIANGLES
FEATURES OF TRIANGLESSariga Vinod
 
2.6.3 Congruent Triangle Proofs
2.6.3 Congruent Triangle Proofs2.6.3 Congruent Triangle Proofs
2.6.3 Congruent Triangle Proofssmiller5
 
Sum Of The Angles Of A Triangle
Sum Of The Angles Of A TriangleSum Of The Angles Of A Triangle
Sum Of The Angles Of A Trianglecorinnegallagher
 
Congruence of Triangle
Congruence of TriangleCongruence of Triangle
Congruence of Triangleitutor
 
Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,Rebekah Andrea Fullido
 

What's hot (20)

Triangles -Classroom presentation
Triangles -Classroom presentationTriangles -Classroom presentation
Triangles -Classroom presentation
 
Congruents of Triangle
Congruents of TriangleCongruents of Triangle
Congruents of Triangle
 
Geometry 201 unit 4.2
Geometry 201 unit 4.2Geometry 201 unit 4.2
Geometry 201 unit 4.2
 
Aas
Aas Aas
Aas
 
Geometry the congruence of triangles
Geometry the congruence of trianglesGeometry the congruence of triangles
Geometry the congruence of triangles
 
11 X1 T06 03 Congruent Triangles
11 X1 T06 03 Congruent Triangles11 X1 T06 03 Congruent Triangles
11 X1 T06 03 Congruent Triangles
 
11-4 lines and angles
11-4 lines and angles11-4 lines and angles
11-4 lines and angles
 
TechMathI - 4.1 - Congruent Triangles
TechMathI - 4.1 - Congruent TrianglesTechMathI - 4.1 - Congruent Triangles
TechMathI - 4.1 - Congruent Triangles
 
Geometry 201 unit 4.3
Geometry 201 unit 4.3Geometry 201 unit 4.3
Geometry 201 unit 4.3
 
Congruent triangles
Congruent trianglesCongruent triangles
Congruent triangles
 
AREA OF TRIANGLES
AREA OF TRIANGLESAREA OF TRIANGLES
AREA OF TRIANGLES
 
FEATURES OF TRIANGLES
FEATURES OF TRIANGLESFEATURES OF TRIANGLES
FEATURES OF TRIANGLES
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
 
2.6.3 Congruent Triangle Proofs
2.6.3 Congruent Triangle Proofs2.6.3 Congruent Triangle Proofs
2.6.3 Congruent Triangle Proofs
 
Sas congruence postulate
Sas congruence postulateSas congruence postulate
Sas congruence postulate
 
Quadrilaterals
QuadrilateralsQuadrilaterals
Quadrilaterals
 
Sum Of The Angles Of A Triangle
Sum Of The Angles Of A TriangleSum Of The Angles Of A Triangle
Sum Of The Angles Of A Triangle
 
Congruence of Triangle
Congruence of TriangleCongruence of Triangle
Congruence of Triangle
 
Cogruence
CogruenceCogruence
Cogruence
 
Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,
 

Viewers also liked

Lithuania, 3rd part of portfolio – Marketing
Lithuania, 3rd part of portfolio – MarketingLithuania, 3rd part of portfolio – Marketing
Lithuania, 3rd part of portfolio – Marketingeyecomenius5
 
Day 10 variables on both sides
Day 10 variables on both sidesDay 10 variables on both sides
Day 10 variables on both sidesErik Tjersland
 
Intro to inequalities
Intro to inequalitiesIntro to inequalities
Intro to inequalitiesmarniekrentz
 
Day 12 variables on both sides fractions
Day 12 variables on both sides fractionsDay 12 variables on both sides fractions
Day 12 variables on both sides fractionsErik Tjersland
 
Beautiful Flowers
Beautiful FlowersBeautiful Flowers
Beautiful FlowersRenny
 
Publiglobe at a glance
Publiglobe at a glancePubliglobe at a glance
Publiglobe at a glanceSimone Ornaghi
 
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theoremAndreGoins
 
Flores yareli y perez maritza. 1 a garantias de ventas
Flores yareli y perez maritza. 1 a garantias de ventas Flores yareli y perez maritza. 1 a garantias de ventas
Flores yareli y perez maritza. 1 a garantias de ventas Maritzaa123
 
Meaning of prospecting
Meaning of prospectingMeaning of prospecting
Meaning of prospectingfuzailahmed240
 
Geometry chapter 1 review pages from book
Geometry   chapter 1 review pages from bookGeometry   chapter 1 review pages from book
Geometry chapter 1 review pages from bookmathriot
 
Distributive property in algebra power point
Distributive property in algebra power pointDistributive property in algebra power point
Distributive property in algebra power pointkatiewilkerosn
 

Viewers also liked (20)

Lithuania, 3rd part of portfolio – Marketing
Lithuania, 3rd part of portfolio – MarketingLithuania, 3rd part of portfolio – Marketing
Lithuania, 3rd part of portfolio – Marketing
 
Day 10 variables on both sides
Day 10 variables on both sidesDay 10 variables on both sides
Day 10 variables on both sides
 
Día de los difuntos
Día de los difuntosDía de los difuntos
Día de los difuntos
 
La felicidad
La felicidadLa felicidad
La felicidad
 
Algebra
AlgebraAlgebra
Algebra
 
1.5 measuring segments
1.5 measuring segments1.5 measuring segments
1.5 measuring segments
 
Atomo 1
Atomo 1Atomo 1
Atomo 1
 
Intro to inequalities
Intro to inequalitiesIntro to inequalities
Intro to inequalities
 
Lennons Imagine
Lennons ImagineLennons Imagine
Lennons Imagine
 
Bullying day 2
Bullying day 2Bullying day 2
Bullying day 2
 
Day 12 variables on both sides fractions
Day 12 variables on both sides fractionsDay 12 variables on both sides fractions
Day 12 variables on both sides fractions
 
Beautiful Flowers
Beautiful FlowersBeautiful Flowers
Beautiful Flowers
 
Publiglobe at a glance
Publiglobe at a glancePubliglobe at a glance
Publiglobe at a glance
 
Pythagorean theorem
Pythagorean theoremPythagorean theorem
Pythagorean theorem
 
Flores yareli y perez maritza. 1 a garantias de ventas
Flores yareli y perez maritza. 1 a garantias de ventas Flores yareli y perez maritza. 1 a garantias de ventas
Flores yareli y perez maritza. 1 a garantias de ventas
 
Sequences
SequencesSequences
Sequences
 
Meaning of prospecting
Meaning of prospectingMeaning of prospecting
Meaning of prospecting
 
Geometry chapter 1 review pages from book
Geometry   chapter 1 review pages from bookGeometry   chapter 1 review pages from book
Geometry chapter 1 review pages from book
 
Distributive property in algebra power point
Distributive property in algebra power pointDistributive property in algebra power point
Distributive property in algebra power point
 
Pm 4 scope
Pm 4 scopePm 4 scope
Pm 4 scope
 

Similar to TechMathI - 3.5 - Inequalities in Geometry

Chapter4.9
Chapter4.9Chapter4.9
Chapter4.9nglaze10
 
Geometry 201 unit 5.7
Geometry 201 unit 5.7Geometry 201 unit 5.7
Geometry 201 unit 5.7Mark Ryder
 
4th_Quarter_Mathematics_8 (1).docx
4th_Quarter_Mathematics_8 (1).docx4th_Quarter_Mathematics_8 (1).docx
4th_Quarter_Mathematics_8 (1).docxzurobayoran
 
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 19-14jbianco9910
 
Topic 9 pythagoras
Topic 9 pythagorasTopic 9 pythagoras
Topic 9 pythagorassidraqasim99
 
8.1 Law of Sines
8.1 Law of Sines8.1 Law of Sines
8.1 Law of Sinessmiller5
 
Geometry unit 8.3
Geometry unit 8.3Geometry unit 8.3
Geometry unit 8.3Mark Ryder
 
Law of Sines
Law of SinesLaw of Sines
Law of SinesQuimm Lee
 
Lesson 5 4
Lesson 5 4Lesson 5 4
Lesson 5 4mgadia
 
5.5 triangle inequality theorem
5.5 triangle inequality theorem5.5 triangle inequality theorem
5.5 triangle inequality theoremlothomas
 
Geom 5point6
Geom 5point6Geom 5point6
Geom 5point6herbison
 
Powerpoint in triangle_Inequality_Theorem.ppt
Powerpoint in triangle_Inequality_Theorem.pptPowerpoint in triangle_Inequality_Theorem.ppt
Powerpoint in triangle_Inequality_Theorem.pptjawraabdul
 
324 Chapter 5 Relationships Within TrianglesObjective To.docx
324 Chapter 5 Relationships Within TrianglesObjective To.docx324 Chapter 5 Relationships Within TrianglesObjective To.docx
324 Chapter 5 Relationships Within TrianglesObjective To.docxgilbertkpeters11344
 
2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalities2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalitiessmiller5
 

Similar to TechMathI - 3.5 - Inequalities in Geometry (20)

Chapter4.9
Chapter4.9Chapter4.9
Chapter4.9
 
Geometry 201 unit 5.7
Geometry 201 unit 5.7Geometry 201 unit 5.7
Geometry 201 unit 5.7
 
4th_Quarter_Mathematics_8 (1).docx
4th_Quarter_Mathematics_8 (1).docx4th_Quarter_Mathematics_8 (1).docx
4th_Quarter_Mathematics_8 (1).docx
 
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
 
Topic 9 pythagoras
Topic 9 pythagorasTopic 9 pythagoras
Topic 9 pythagoras
 
Trig ratios
Trig ratiosTrig ratios
Trig ratios
 
Gch8 l2
Gch8 l2Gch8 l2
Gch8 l2
 
8.1 Law of Sines
8.1 Law of Sines8.1 Law of Sines
8.1 Law of Sines
 
Geometry unit 8.3
Geometry unit 8.3Geometry unit 8.3
Geometry unit 8.3
 
Law of Sines
Law of SinesLaw of Sines
Law of Sines
 
5.5 triangle inequality theorem
5.5 triangle inequality theorem5.5 triangle inequality theorem
5.5 triangle inequality theorem
 
Triangle 1.ppt
Triangle 1.pptTriangle 1.ppt
Triangle 1.ppt
 
Triangle 1.ppt
Triangle 1.pptTriangle 1.ppt
Triangle 1.ppt
 
14 right angle trigonometry
14 right angle trigonometry14 right angle trigonometry
14 right angle trigonometry
 
Lesson 5 4
Lesson 5 4Lesson 5 4
Lesson 5 4
 
5.5 triangle inequality theorem
5.5 triangle inequality theorem5.5 triangle inequality theorem
5.5 triangle inequality theorem
 
Geom 5point6
Geom 5point6Geom 5point6
Geom 5point6
 
Powerpoint in triangle_Inequality_Theorem.ppt
Powerpoint in triangle_Inequality_Theorem.pptPowerpoint in triangle_Inequality_Theorem.ppt
Powerpoint in triangle_Inequality_Theorem.ppt
 
324 Chapter 5 Relationships Within TrianglesObjective To.docx
324 Chapter 5 Relationships Within TrianglesObjective To.docx324 Chapter 5 Relationships Within TrianglesObjective To.docx
324 Chapter 5 Relationships Within TrianglesObjective To.docx
 
2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalities2.5.5 Triangle Inequalities
2.5.5 Triangle Inequalities
 

More from lmrhodes

Geo cheat sheet
Geo cheat sheetGeo cheat sheet
Geo cheat sheetlmrhodes
 
Final review 1
Final review 1Final review 1
Final review 1lmrhodes
 
Poly centers answer sheet
Poly centers answer sheetPoly centers answer sheet
Poly centers answer sheetlmrhodes
 
Polynomial review centers
Polynomial review centersPolynomial review centers
Polynomial review centerslmrhodes
 
TechMathI - Point slope form
TechMathI - Point slope formTechMathI - Point slope form
TechMathI - Point slope formlmrhodes
 
TechMathI - Standard form
TechMathI - Standard formTechMathI - Standard form
TechMathI - Standard formlmrhodes
 
TechMathI - Slope intercept form
TechMathI - Slope intercept formTechMathI - Slope intercept form
TechMathI - Slope intercept formlmrhodes
 
TechMathI - Rate of change and slope
TechMathI - Rate of change and slopeTechMathI - Rate of change and slope
TechMathI - Rate of change and slopelmrhodes
 
TechMathI - Ch6 Test
TechMathI - Ch6 TestTechMathI - Ch6 Test
TechMathI - Ch6 Testlmrhodes
 
TechMathI - Ch6 Review
TechMathI - Ch6 ReviewTechMathI - Ch6 Review
TechMathI - Ch6 Reviewlmrhodes
 
TechMathI - Ch6 Quiz
TechMathI - Ch6 QuizTechMathI - Ch6 Quiz
TechMathI - Ch6 Quizlmrhodes
 
TechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examplesTechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity exampleslmrhodes
 
TechMathI - 6.2 - Similarity
TechMathI - 6.2 - SimilarityTechMathI - 6.2 - Similarity
TechMathI - 6.2 - Similaritylmrhodes
 
TechMathI - 6.1 - Ratio and Proportion
TechMathI - 6.1 - Ratio and ProportionTechMathI - 6.1 - Ratio and Proportion
TechMathI - 6.1 - Ratio and Proportionlmrhodes
 
TechMathI - Ch5 Test
TechMathI - Ch5 TestTechMathI - Ch5 Test
TechMathI - Ch5 Testlmrhodes
 
TechMathI - Ch5 Vocab Quiz
TechMathI - Ch5 Vocab QuizTechMathI - Ch5 Vocab Quiz
TechMathI - Ch5 Vocab Quizlmrhodes
 
TechMathI - 5.6 - Trapezoids
TechMathI - 5.6 - TrapezoidsTechMathI - 5.6 - Trapezoids
TechMathI - 5.6 - Trapezoidslmrhodes
 
TechMathI - 5.5 - Special Parallelograms
TechMathI - 5.5 - Special ParallelogramsTechMathI - 5.5 - Special Parallelograms
TechMathI - 5.5 - Special Parallelogramslmrhodes
 
TechMathI - 5.4 - Parallelograms
TechMathI - 5.4 - ParallelogramsTechMathI - 5.4 - Parallelograms
TechMathI - 5.4 - Parallelogramslmrhodes
 
TechMathI - 5.3 - Properties of Quadrilaterals
TechMathI - 5.3 - Properties of QuadrilateralsTechMathI - 5.3 - Properties of Quadrilaterals
TechMathI - 5.3 - Properties of Quadrilateralslmrhodes
 

More from lmrhodes (20)

Geo cheat sheet
Geo cheat sheetGeo cheat sheet
Geo cheat sheet
 
Final review 1
Final review 1Final review 1
Final review 1
 
Poly centers answer sheet
Poly centers answer sheetPoly centers answer sheet
Poly centers answer sheet
 
Polynomial review centers
Polynomial review centersPolynomial review centers
Polynomial review centers
 
TechMathI - Point slope form
TechMathI - Point slope formTechMathI - Point slope form
TechMathI - Point slope form
 
TechMathI - Standard form
TechMathI - Standard formTechMathI - Standard form
TechMathI - Standard form
 
TechMathI - Slope intercept form
TechMathI - Slope intercept formTechMathI - Slope intercept form
TechMathI - Slope intercept form
 
TechMathI - Rate of change and slope
TechMathI - Rate of change and slopeTechMathI - Rate of change and slope
TechMathI - Rate of change and slope
 
TechMathI - Ch6 Test
TechMathI - Ch6 TestTechMathI - Ch6 Test
TechMathI - Ch6 Test
 
TechMathI - Ch6 Review
TechMathI - Ch6 ReviewTechMathI - Ch6 Review
TechMathI - Ch6 Review
 
TechMathI - Ch6 Quiz
TechMathI - Ch6 QuizTechMathI - Ch6 Quiz
TechMathI - Ch6 Quiz
 
TechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examplesTechMathI - 6.2 - Similarity examples
TechMathI - 6.2 - Similarity examples
 
TechMathI - 6.2 - Similarity
TechMathI - 6.2 - SimilarityTechMathI - 6.2 - Similarity
TechMathI - 6.2 - Similarity
 
TechMathI - 6.1 - Ratio and Proportion
TechMathI - 6.1 - Ratio and ProportionTechMathI - 6.1 - Ratio and Proportion
TechMathI - 6.1 - Ratio and Proportion
 
TechMathI - Ch5 Test
TechMathI - Ch5 TestTechMathI - Ch5 Test
TechMathI - Ch5 Test
 
TechMathI - Ch5 Vocab Quiz
TechMathI - Ch5 Vocab QuizTechMathI - Ch5 Vocab Quiz
TechMathI - Ch5 Vocab Quiz
 
TechMathI - 5.6 - Trapezoids
TechMathI - 5.6 - TrapezoidsTechMathI - 5.6 - Trapezoids
TechMathI - 5.6 - Trapezoids
 
TechMathI - 5.5 - Special Parallelograms
TechMathI - 5.5 - Special ParallelogramsTechMathI - 5.5 - Special Parallelograms
TechMathI - 5.5 - Special Parallelograms
 
TechMathI - 5.4 - Parallelograms
TechMathI - 5.4 - ParallelogramsTechMathI - 5.4 - Parallelograms
TechMathI - 5.4 - Parallelograms
 
TechMathI - 5.3 - Properties of Quadrilaterals
TechMathI - 5.3 - Properties of QuadrilateralsTechMathI - 5.3 - Properties of Quadrilaterals
TechMathI - 5.3 - Properties of Quadrilaterals
 

TechMathI - 3.5 - Inequalities in Geometry

  • 1.
  • 2. 1 A B C 2 3 Comparisons “ across from” AC  <2 AB   <3 BC  <1
  • 3. Name the longest side and largest angle. A B C 19 17 15 D E F 28 18 21 G H I 35 ° 65 °
  • 4.
  • 5. Practice A B C m<A > m<B , so: ________________ Theorem
  • 6. Practice D E F DF > EF, so: ________________ Theorem 1 2 3
  • 7. Practice G H I GI > HI, so: ________________ Theorem 1 2 3
  • 8. You try! X Y Z YZ > YX, so: ________________ Theorem 1 2 3 L M N <1 > <2 EF, so: ________________ Theorem 1 2 3
  • 9.