SlideShare une entreprise Scribd logo
1  sur  24
Similar Triangles Focus – Apply the properties of similar triangles and tomorrow, prove that triangles are similar. Lesson 8-3 WA State Standards: G.3.A and G.3.B
Congruent Triangles …have  matching angles  that are  congruent.   …have  matching sides  that are  congruent. A B C D F E 100° 35° 45° 115 ft 150 ft 100 ft 150 ft 115 ft 100 ft 35° 100° 45°
Congruent Triangles …have  matching angles  that are  congruent.   …have  matching sides  that are  congruent. A B C D F E 100° 35° 45° 115 ft 150 ft 100 ft 150 ft 115 ft 100 ft 35° 100° 45°
Similar Triangles ,[object Object],[object Object],[object Object],30° 30° 75°  75° 75°  75° 16 12 12 16 6 8 Ratios  of each side are
Triangle Similarity Postulate ,[object Object],[object Object],[object Object]
AA? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Are they similar? ,[object Object]
Are they similar? Use  Angle/Angle  or  AA Similarity .  Two  congruent angles show triangles are similar.
Similar? ,[object Object],120° 30° 30° 30°
Is  ABC similar to  AEF? A E F C B Sometimes it helps to separate the two  triangles and look at each angle separately.
Find the missing side ,[object Object],[object Object],120° 30° 30° 30° 7 ft 21 ft 28 ft n  ft
In today’s lesson… ,[object Object],[object Object],[object Object],[object Object],WA State Standards: G.3.A and G.3.B
Assign: 453: 4-8;    12-13   457: 1-4 ,[object Object]
Day Two ,[object Object],[object Object],[object Object],[object Object],[object Object]
Overlapping Triangles ,[object Object],A C B A F E
Is  ABC similar to  AEF? If so, what Is the missing side? y 15 16 x 12 12 A B C E F
It often helps to separate the two attached triangles. y 15 16 x 12 12
Prove: A line drawn from a point on one side of a triangle parallel to another side forms a triangle similar to the original triangle.
[object Object],[object Object],WARNING
Given:  ; Prove: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
9. Given:    Prove: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],A E D B C
Overlapping Similar Triangles Theorem ,[object Object],[object Object]
Solve by using proportions 4 ft 6 ft 5 ft x
Assign: 453: 9; 14, 16, 21a, 23, 26  457: 5-7

Contenu connexe

Tendances

Geom 13 01 & 13-02- for ss
Geom 13 01 & 13-02- for ssGeom 13 01 & 13-02- for ss
Geom 13 01 & 13-02- for ss
Michael Dykstra
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
dgupta330
 
Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theorem
Madhavi Mahajan
 
Similar Triangles Notes
Similar Triangles NotesSimilar Triangles Notes
Similar Triangles Notes
acavis
 
Using triangle congruence.
Using triangle congruence.Using triangle congruence.
Using triangle congruence.
Jabe Macalinao
 
6.6 proportions & similar triangles
6.6 proportions & similar triangles6.6 proportions & similar triangles
6.6 proportions & similar triangles
Jessica Garcia
 
Geom jeopardy ch 8 review
Geom jeopardy ch 8 reviewGeom jeopardy ch 8 review
Geom jeopardy ch 8 review
mgneal
 
Proving Triangles Congruent Sss, Sas Asa
Proving Triangles Congruent Sss, Sas AsaProving Triangles Congruent Sss, Sas Asa
Proving Triangles Congruent Sss, Sas Asa
guestd1dc2e
 
4.4 & 4.5 & 5.2 proving triangles congruent
4.4 & 4.5 & 5.2 proving triangles congruent4.4 & 4.5 & 5.2 proving triangles congruent
4.4 & 4.5 & 5.2 proving triangles congruent
Mary Angeline Molabola
 

Tendances (20)

Geometry
GeometryGeometry
Geometry
 
2.7.3 ASA and AAS
2.7.3 ASA and AAS2.7.3 ASA and AAS
2.7.3 ASA and AAS
 
Similar Triangles II
Similar Triangles IISimilar Triangles II
Similar Triangles II
 
Geom 13 01 & 13-02- for ss
Geom 13 01 & 13-02- for ssGeom 13 01 & 13-02- for ss
Geom 13 01 & 13-02- for ss
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
 
Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theorem
 
Congruence of a triangles
Congruence of a trianglesCongruence of a triangles
Congruence of a triangles
 
Similar Triangles Notes
Similar Triangles NotesSimilar Triangles Notes
Similar Triangles Notes
 
Using triangle congruence.
Using triangle congruence.Using triangle congruence.
Using triangle congruence.
 
Asa congruence postulate
Asa congruence postulateAsa congruence postulate
Asa congruence postulate
 
Geometry unit 4.6
Geometry unit 4.6Geometry unit 4.6
Geometry unit 4.6
 
6.6 proportions & similar triangles
6.6 proportions & similar triangles6.6 proportions & similar triangles
6.6 proportions & similar triangles
 
Geom jeopardy ch 8 review
Geom jeopardy ch 8 reviewGeom jeopardy ch 8 review
Geom jeopardy ch 8 review
 
Sas congruence postulate
Sas congruence postulateSas congruence postulate
Sas congruence postulate
 
Proving Triangles Congruent Sss, Sas Asa
Proving Triangles Congruent Sss, Sas AsaProving Triangles Congruent Sss, Sas Asa
Proving Triangles Congruent Sss, Sas Asa
 
Geometry 5-6 ASA and AAS
Geometry 5-6 ASA and AASGeometry 5-6 ASA and AAS
Geometry 5-6 ASA and AAS
 
Triangle Congruence (Introduction)
Triangle Congruence (Introduction)Triangle Congruence (Introduction)
Triangle Congruence (Introduction)
 
Congruent Triangles
Congruent TrianglesCongruent Triangles
Congruent Triangles
 
4.4 & 4.5 & 5.2 proving triangles congruent
4.4 & 4.5 & 5.2 proving triangles congruent4.4 & 4.5 & 5.2 proving triangles congruent
4.4 & 4.5 & 5.2 proving triangles congruent
 
Triginometry
TriginometryTriginometry
Triginometry
 

Similaire à 8 3 Similar Triangles

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Triangles
taco40
 
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
AngelaCamillePaynant
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
dgupta330
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
dgupta330
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
Dlgltsbm
 
Drawing some kinds of line in triangle
Drawing some kinds of line in triangleDrawing some kinds of line in triangle
Drawing some kinds of line in triangle
Pamujiarso Wibowo
 

Similaire à 8 3 Similar Triangles (20)

8 3similar Triangles
8 3similar Triangles8 3similar Triangles
8 3similar Triangles
 
Similar Triangles PPT and examples.ppt
Similar Triangles PPT and examples.pptSimilar Triangles PPT and examples.ppt
Similar Triangles PPT and examples.ppt
 
Math 9 similar triangles intro
Math 9   similar triangles introMath 9   similar triangles intro
Math 9 similar triangles intro
 
Digit l textbook 131
Digit l textbook 131Digit l textbook 131
Digit l textbook 131
 
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
3-MATH 8-Q3-WEEK 2-ILLUSTRATING TRIANGLE CONGRUENCE AND Illustrating SSS, SAS...
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
 
Congruent and similar triangle by ritik
Congruent and similar triangle by ritikCongruent and similar triangle by ritik
Congruent and similar triangle by ritik
 
Similar Triangles
Similar TrianglesSimilar Triangles
Similar Triangles
 
Triangles
TrianglesTriangles
Triangles
 
Area of triangles and IIgm
Area of triangles and IIgmArea of triangles and IIgm
Area of triangles and IIgm
 
Triangles and its all types
Triangles and its all typesTriangles and its all types
Triangles and its all types
 
Triangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERTTriangles X CLASS CBSE NCERT
Triangles X CLASS CBSE NCERT
 
Triangles
TrianglesTriangles
Triangles
 
Drawing some kinds of line in triangle
Drawing some kinds of line in triangleDrawing some kinds of line in triangle
Drawing some kinds of line in triangle
 
Review on Triangle Congruency
Review on Triangle CongruencyReview on Triangle Congruency
Review on Triangle Congruency
 
Congruents of Triangle
Congruents of TriangleCongruents of Triangle
Congruents of Triangle
 
Congruent of Triangles
Congruent of TrianglesCongruent of Triangles
Congruent of Triangles
 
Triangles (Similarity)
Triangles (Similarity)Triangles (Similarity)
Triangles (Similarity)
 

Plus de taco40 (20)

Lesson 8 8 A Just Started
Lesson 8 8 A Just StartedLesson 8 8 A Just Started
Lesson 8 8 A Just Started
 
8 8b Trig Intro
8 8b Trig Intro8 8b Trig Intro
8 8b Trig Intro
 
8 8b Trig Intro2
8 8b Trig Intro28 8b Trig Intro2
8 8b Trig Intro2
 
8 2 Triangle Sum Theorem
8 2 Triangle Sum Theorem8 2 Triangle Sum Theorem
8 2 Triangle Sum Theorem
 
9 2power Of Power
9 2power Of Power9 2power Of Power
9 2power Of Power
 
4 6 Probablitiy
4 6 Probablitiy4 6 Probablitiy
4 6 Probablitiy
 
4 5b Histograms
4 5b Histograms4 5b Histograms
4 5b Histograms
 
4 1 Proportions
4 1 Proportions4 1 Proportions
4 1 Proportions
 
4[1].4central Tendencies
4[1].4central Tendencies4[1].4central Tendencies
4[1].4central Tendencies
 
4[.5a Box Whiskers
4[.5a Box Whiskers4[.5a Box Whiskers
4[.5a Box Whiskers
 
4.5a Box Whiskers
4.5a Box Whiskers4.5a Box Whiskers
4.5a Box Whiskers
 
4.4central Tendencies
4.4central Tendencies4.4central Tendencies
4.4central Tendencies
 
3 3two Step Equations
3 3two Step Equations3 3two Step Equations
3 3two Step Equations
 
2 5math Laws
2 5math Laws2 5math Laws
2 5math Laws
 
2 3 Subtract Integers
2 3 Subtract Integers2 3 Subtract Integers
2 3 Subtract Integers
 
2 4mult Pos By Neg
2 4mult Pos By Neg2 4mult Pos By Neg
2 4mult Pos By Neg
 
2 2bpos Neg Fractionss
2 2bpos Neg Fractionss2 2bpos Neg Fractionss
2 2bpos Neg Fractionss
 
2 2 Pos Neg Numbers
2 2 Pos Neg Numbers2 2 Pos Neg Numbers
2 2 Pos Neg Numbers
 
1 5 Stem Leaf Plot
1 5 Stem Leaf Plot1 5 Stem Leaf Plot
1 5 Stem Leaf Plot
 
1 2 Variables
1 2 Variables1 2 Variables
1 2 Variables
 

Dernier

Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
negromaestrong
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 

Dernier (20)

On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 
Third Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptxThird Battle of Panipat detailed notes.pptx
Third Battle of Panipat detailed notes.pptx
 
Seal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptxSeal of Good Local Governance (SGLG) 2024Final.pptx
Seal of Good Local Governance (SGLG) 2024Final.pptx
 
How to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POSHow to Manage Global Discount in Odoo 17 POS
How to Manage Global Discount in Odoo 17 POS
 
Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptxAsian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 

8 3 Similar Triangles

  • 1. Similar Triangles Focus – Apply the properties of similar triangles and tomorrow, prove that triangles are similar. Lesson 8-3 WA State Standards: G.3.A and G.3.B
  • 2. Congruent Triangles …have matching angles that are congruent. …have matching sides that are congruent. A B C D F E 100° 35° 45° 115 ft 150 ft 100 ft 150 ft 115 ft 100 ft 35° 100° 45°
  • 3. Congruent Triangles …have matching angles that are congruent. …have matching sides that are congruent. A B C D F E 100° 35° 45° 115 ft 150 ft 100 ft 150 ft 115 ft 100 ft 35° 100° 45°
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Are they similar? Use Angle/Angle or AA Similarity . Two congruent angles show triangles are similar.
  • 9.
  • 10. Is ABC similar to AEF? A E F C B Sometimes it helps to separate the two triangles and look at each angle separately.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16. Is ABC similar to AEF? If so, what Is the missing side? y 15 16 x 12 12 A B C E F
  • 17. It often helps to separate the two attached triangles. y 15 16 x 12 12
  • 18. Prove: A line drawn from a point on one side of a triangle parallel to another side forms a triangle similar to the original triangle.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23. Solve by using proportions 4 ft 6 ft 5 ft x
  • 24. Assign: 453: 9; 14, 16, 21a, 23, 26 457: 5-7