SlideShare uma empresa Scribd logo
1 de 3
Baixar para ler offline
Geom4­1.notebook                                                      November 01, 2011




         BELL WORK:
            State ALWAYS, SOMETIMES, or NEVER:

            1. A median is an altitude.
            2. A right triangle is congruent to an equilateral triangle.




             Agenda for the day:
             • 4.1
             • exit slip




                                                                                          1
Geom4­1.notebook                                                     November 01, 2011



        4.1 ­ Midpoints and Detours

        After this lesson, you should be able to:
        1. Calculate the location of a midpoint using the midpoint formula.
        2. Use detours in proofs.


        On the number line to the right,    A       M           B
        determine the coordinate for M      2                   14
        if M is the midpoint of AB:


        The Midpoint Formula:




                          Sometimes it is necessary to prove more than 
                          one pair of triangles congruent in order to 
                          reach a conclusion. 
                          We call such proofs detour proofs.




         Let's look at the example on p.169.
         Extra examples: see the sample problems on pp.171 and 172

         The procedure for detour proofs is on p.170




                                                                                         2
Geom4­1.notebook                                        November 01, 2011

                   Detour proof: p.173 #2
                                                M

                                                Q
                                            P       N
                   Given:
                                                S
                   Prove:




         Exit Slip:  p.172 #1

         You don't have to write the entire proof, just 
         number 3­7 and fill in the blanks.


          Homework: 4.1 Practice Worksheet
          due Thursday




                                                                            3

Mais conteúdo relacionado

Destaque

Destaque (8)

Geom8-1
Geom8-1Geom8-1
Geom8-1
 
Geom13-1
Geom13-1Geom13-1
Geom13-1
 
Geom9-6
Geom9-6Geom9-6
Geom9-6
 
CI-Reports Ver. 0.1-intro
CI-Reports Ver. 0.1-introCI-Reports Ver. 0.1-intro
CI-Reports Ver. 0.1-intro
 
Geom9-4
Geom9-4Geom9-4
Geom9-4
 
Geom1-6hour3
Geom1-6hour3Geom1-6hour3
Geom1-6hour3
 
Sponsor presentation
Sponsor presentationSponsor presentation
Sponsor presentation
 
Presentation1
Presentation1Presentation1
Presentation1
 

Mais de kquarton

Mais de kquarton (20)

Geom10.7
Geom10.7Geom10.7
Geom10.7
 
Geom10.5
Geom10.5Geom10.5
Geom10.5
 
Geom10.1-10.2
Geom10.1-10.2Geom10.1-10.2
Geom10.1-10.2
 
Geom9-9and9-10
Geom9-9and9-10Geom9-9and9-10
Geom9-9and9-10
 
Geom9-8
Geom9-8Geom9-8
Geom9-8
 
Geom9-5
Geom9-5Geom9-5
Geom9-5
 
Geom9-3
Geom9-3Geom9-3
Geom9-3
 
Geom9-4
Geom9-4Geom9-4
Geom9-4
 
Geom8-2and8-3
Geom8-2and8-3Geom8-2and8-3
Geom8-2and8-3
 
Geom8-1Part2
Geom8-1Part2Geom8-1Part2
Geom8-1Part2
 
Geom7-4
Geom7-4Geom7-4
Geom7-4
 
Geom7-3
Geom7-3Geom7-3
Geom7-3
 
Geom7-2
Geom7-2Geom7-2
Geom7-2
 
Geom7-1
Geom7-1Geom7-1
Geom7-1
 
Geom5-6
Geom5-6Geom5-6
Geom5-6
 
Geom5-4
Geom5-4Geom5-4
Geom5-4
 
Geom5-5
Geom5-5Geom5-5
Geom5-5
 
Geom4-6
Geom4-6Geom4-6
Geom4-6
 
Geom4-4
Geom4-4Geom4-4
Geom4-4
 
GeomCh4review
GeomCh4reviewGeomCh4review
GeomCh4review
 

Último

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...Poonam Aher Patil
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxAreebaZafar22
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxAmanpreet Kaur
 
Fostering Friendships - Enhancing Social Bonds in the Classroom
Fostering Friendships - Enhancing Social Bonds  in the ClassroomFostering Friendships - Enhancing Social Bonds  in the Classroom
Fostering Friendships - Enhancing Social Bonds in the ClassroomPooky Knightsmith
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...pradhanghanshyam7136
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701bronxfugly43
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseAnaAcapella
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxcallscotland1987
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxRamakrishna Reddy Bijjam
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibitjbellavia9
 
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 17Celine George
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfPoh-Sun Goh
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxVishalSingh1417
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptxMaritesTamaniVerdade
 
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdfVishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdfssuserdda66b
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.MaryamAhmad92
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxDenish Jangid
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfNirmal Dwivedi
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfSherif Taha
 

Último (20)

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...
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Fostering Friendships - Enhancing Social Bonds in the Classroom
Fostering Friendships - Enhancing Social Bonds  in the ClassroomFostering Friendships - Enhancing Social Bonds  in the Classroom
Fostering Friendships - Enhancing Social Bonds in the Classroom
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
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
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdfVishram Singh - Textbook of Anatomy  Upper Limb and Thorax.. Volume 1 (1).pdf
Vishram Singh - Textbook of Anatomy Upper Limb and Thorax.. Volume 1 (1).pdf
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfUGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 

Geom4-1

  • 1. Geom4­1.notebook November 01, 2011 BELL WORK: State ALWAYS, SOMETIMES, or NEVER: 1. A median is an altitude. 2. A right triangle is congruent to an equilateral triangle. Agenda for the day: • 4.1 • exit slip 1
  • 2. Geom4­1.notebook November 01, 2011 4.1 ­ Midpoints and Detours After this lesson, you should be able to: 1. Calculate the location of a midpoint using the midpoint formula. 2. Use detours in proofs. On the number line to the right,  A M B determine the coordinate for M 2 14 if M is the midpoint of AB: The Midpoint Formula: Sometimes it is necessary to prove more than  one pair of triangles congruent in order to  reach a conclusion.  We call such proofs detour proofs. Let's look at the example on p.169. Extra examples: see the sample problems on pp.171 and 172 The procedure for detour proofs is on p.170 2
  • 3. Geom4­1.notebook November 01, 2011 Detour proof: p.173 #2 M Q P N Given: S Prove: Exit Slip:  p.172 #1 You don't have to write the entire proof, just  number 3­7 and fill in the blanks. Homework: 4.1 Practice Worksheet due Thursday 3