SlideShare ist ein Scribd-Unternehmen logo
1 von 13
St. Thomas Training College
Mukkolakkal
Submitted by
LIKHA. K
Register no:18014386003
Year : 2014-2015
CONGRUENT
TRIANGLES
Real life examples of Congruent
figures
Stack of coins placed one over the
other.
Stack of CD placed over the other.
Mathematical examples of
Congruent figures
oTwo circles having the same radii
oTwo triangles with the same
measure.
The Theorems in Congruent
Triangle
1. SSS
2. ASA
3. SAS
4. RHS
1. SSS Theorem
If three sides of a one triangle are equal to the
three sides of another triangle then those two
triangles are congruent.
2. ASA Theorem
If one side and two angles of a triangle are equal to
the one side and the two angles on it of another
triangle then those triangles are congruent.
3. SAS Theorem
It two sides and their included angle of one triangle
is equal to the two sides and included angle of
another triangle then they are congruent.
4. R.H.S Theorem
If the base and altitude of a right angled triangle are
equal to the base and altitude of another right angled
triangle then those two triangles are congruent.
Are they congruent? Why?
Ans: Yes
By R.H.S
THANK YOU

Weitere ähnliche Inhalte

Was ist angesagt?

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
Lovely Jane Lariego
 
Quadrilateral presentation
Quadrilateral presentationQuadrilateral presentation
Quadrilateral presentation
lambor chinee
 
3D Figures- volume and surface area
3D Figures- volume and surface area3D Figures- volume and surface area
3D Figures- volume and surface area
Renegarmath
 
Angles powerpoint
Angles powerpointAngles powerpoint
Angles powerpoint
guestdd350
 
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
corinnegallagher
 
Chapter 9 kn - Lines, angles, and polygons
Chapter 9 kn - Lines, angles, and polygonsChapter 9 kn - Lines, angles, and polygons
Chapter 9 kn - Lines, angles, and polygons
Phoebe Peng-Nolte
 
Ppt on quadrilateral
Ppt on quadrilateralPpt on quadrilateral
Ppt on quadrilateral
Arjit Sodhi
 

Was ist angesagt? (20)

Properties of Quadrilaterals
Properties of QuadrilateralsProperties of Quadrilaterals
Properties of Quadrilaterals
 
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
 
Understanding Quadrilaterals
Understanding QuadrilateralsUnderstanding Quadrilaterals
Understanding Quadrilaterals
 
Math's ppt on triangles
Math's ppt on trianglesMath's ppt on triangles
Math's ppt on triangles
 
Classify polygons
Classify polygonsClassify polygons
Classify polygons
 
Quadrilateral presentation
Quadrilateral presentationQuadrilateral presentation
Quadrilateral presentation
 
3D Figures- volume and surface area
3D Figures- volume and surface area3D Figures- volume and surface area
3D Figures- volume and surface area
 
Lines And Angles
Lines And AnglesLines And Angles
Lines And Angles
 
Types of Quadrilateral
Types of QuadrilateralTypes of Quadrilateral
Types of Quadrilateral
 
Angles powerpoint
Angles powerpointAngles powerpoint
Angles powerpoint
 
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
 
Quadrilaterals & their properties(anmol)
Quadrilaterals & their properties(anmol)Quadrilaterals & their properties(anmol)
Quadrilaterals & their properties(anmol)
 
Chapter 9 kn - Lines, angles, and polygons
Chapter 9 kn - Lines, angles, and polygonsChapter 9 kn - Lines, angles, and polygons
Chapter 9 kn - Lines, angles, and polygons
 
Triangles
TrianglesTriangles
Triangles
 
Triangle ppt
Triangle pptTriangle ppt
Triangle ppt
 
Polygons
PolygonsPolygons
Polygons
 
Triangle
Triangle Triangle
Triangle
 
Triangles
Triangles Triangles
Triangles
 
Ppt on quadrilateral
Ppt on quadrilateralPpt on quadrilateral
Ppt on quadrilateral
 
4.3-5 Triangle Congruence
4.3-5 Triangle Congruence4.3-5 Triangle Congruence
4.3-5 Triangle Congruence
 

Ähnlich wie An introduction to Congruent Triangles

Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theorem
Madhavi Mahajan
 
Geo 4.2 3-notes_cong_triangles
Geo 4.2 3-notes_cong_trianglesGeo 4.2 3-notes_cong_triangles
Geo 4.2 3-notes_cong_triangles
Jonathan Fjelstrom
 

Ähnlich wie An introduction to Congruent Triangles (20)

Triangles
Triangles   Triangles
Triangles
 
Triangles
TrianglesTriangles
Triangles
 
Triangles
TrianglesTriangles
Triangles
 
Congruent tri
Congruent triCongruent tri
Congruent tri
 
Triangles
TrianglesTriangles
Triangles
 
Triangles
TrianglesTriangles
Triangles
 
Triangles
TrianglesTriangles
Triangles
 
Triangles 121227065706-phpapp01(1)
Triangles 121227065706-phpapp01(1)Triangles 121227065706-phpapp01(1)
Triangles 121227065706-phpapp01(1)
 
R.TANUJ Maths Triangles for Class IX
R.TANUJ Maths Triangles for Class IXR.TANUJ Maths Triangles for Class IX
R.TANUJ Maths Triangles for Class IX
 
Modern Geometry Topics
Modern Geometry TopicsModern Geometry Topics
Modern Geometry Topics
 
Congruency of triangles
Congruency of trianglesCongruency of triangles
Congruency of triangles
 
Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10Chapter 6, triangles For Grade -10
Chapter 6, triangles For Grade -10
 
chapter 6, triangles
chapter 6, triangleschapter 6, triangles
chapter 6, triangles
 
Geometry unit 4..3
Geometry unit 4..3Geometry unit 4..3
Geometry unit 4..3
 
Triangles recaptulation.pptx
Triangles recaptulation.pptxTriangles recaptulation.pptx
Triangles recaptulation.pptx
 
Congruence of Triangles
Congruence of TrianglesCongruence of Triangles
Congruence of Triangles
 
Congruent triangles theorem
Congruent triangles theoremCongruent triangles theorem
Congruent triangles theorem
 
Similar triangles
Similar trianglesSimilar triangles
Similar triangles
 
Triangles
TrianglesTriangles
Triangles
 
Geo 4.2 3-notes_cong_triangles
Geo 4.2 3-notes_cong_trianglesGeo 4.2 3-notes_cong_triangles
Geo 4.2 3-notes_cong_triangles
 

Kürzlich hochgeladen

Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
fonyou31
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
PECB
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
SoniaTolstoy
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Krashi Coaching
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 

Kürzlich hochgeladen (20)

Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"Mattingly "AI & Prompt Design: The Basics of Prompt Design"
Mattingly "AI & Prompt Design: The Basics of Prompt Design"
 
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
fourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writingfourth grading exam for kindergarten in writing
fourth grading exam for kindergarten in writing
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
General AI for Medical Educators April 2024
General AI for Medical Educators April 2024General AI for Medical Educators April 2024
General AI for Medical Educators April 2024
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
Mattingly "AI & Prompt Design: Structured Data, Assistants, & RAG"
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 

An introduction to Congruent Triangles

  • 1. St. Thomas Training College Mukkolakkal Submitted by LIKHA. K Register no:18014386003 Year : 2014-2015
  • 2.
  • 4.
  • 5. Real life examples of Congruent figures Stack of coins placed one over the other. Stack of CD placed over the other.
  • 6. Mathematical examples of Congruent figures oTwo circles having the same radii oTwo triangles with the same measure.
  • 7. The Theorems in Congruent Triangle 1. SSS 2. ASA 3. SAS 4. RHS
  • 8. 1. SSS Theorem If three sides of a one triangle are equal to the three sides of another triangle then those two triangles are congruent.
  • 9. 2. ASA Theorem If one side and two angles of a triangle are equal to the one side and the two angles on it of another triangle then those triangles are congruent.
  • 10. 3. SAS Theorem It two sides and their included angle of one triangle is equal to the two sides and included angle of another triangle then they are congruent.
  • 11. 4. R.H.S Theorem If the base and altitude of a right angled triangle are equal to the base and altitude of another right angled triangle then those two triangles are congruent.
  • 12. Are they congruent? Why? Ans: Yes By R.H.S