SlideShare a Scribd company logo
1 of 9
Common Tangents
A. Classify as externally tangent or internally
tangent circles
1. Internally tangent 2. Externally tangent
Classify as externally tangent or internally
tangent circles
3.Externlly tangent 4. Internally tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
1. 𝑃𝑄 = external tangent
2. 𝑅𝐶 = internal tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
3. 𝑃𝑄 = external tangent
4. 𝑅𝐹 = external tangent
5. 𝐸𝐹 = internal tangent
B. Determine whether the following lines is an
internal tangent or external tangent.
6. 𝐴𝐵 = external tangent
7. 𝐶𝐷 = external tangent
8. 𝐸𝐹 = internal tangent
9. 𝐻𝐺 = internal tangent
C. Give what is being asked.
1. Let 𝐷𝐴 = 10. If 𝐷𝐵 is 5, find 𝐵𝐴or (r) .
Pythagorean Theorem
The Pythagoras theorem is a mathematical
law that states that the sum of squares of the
lengths of the two short sides of the right triangle
is equal to the square of the length of the
hypotenuse.
c
a
b
1. 𝐷𝐴 (c) = 10.
𝐷𝐵 (b) = 5
𝐵𝐴 (a)= ?
a2 + b2 = c2
𝐵𝐴2
+ 𝐷𝐵2
= 𝐷𝐴2
(BA)2 + 52 = 102
(BA)2 + 25 = 100
(BA)2 = 100 – 25
(BA)2 = 75
BA = 75
BA = 25 . 3
BA = 5 𝟑
Solution:
2. Let PO = 5, AO = 3. Find PA.
Solution:
(PA)2 + (AO)2 = (PO)2
(PA)2 + 32 = 52
(PA)2 + 9 = 25
(PA)2 = 25 – 9
(PA)2 = 16
PA = 16
PA = 4

More Related Content

What's hot

THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptxTHEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
salvegimenez1
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lesson
gwilson8786
 

What's hot (20)

Right triangle similarity
Right triangle similarityRight triangle similarity
Right triangle similarity
 
Triangle congruence (Group 1) Grade 8
Triangle congruence  (Group 1) Grade 8Triangle congruence  (Group 1) Grade 8
Triangle congruence (Group 1) Grade 8
 
Special angles
Special anglesSpecial angles
Special angles
 
Special right triangle lesson
Special right triangle lessonSpecial right triangle lesson
Special right triangle lesson
 
Polygons
PolygonsPolygons
Polygons
 
Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,Math 8 – triangle congruence, postulates,
Math 8 – triangle congruence, postulates,
 
Points, Lines and Planes
Points, Lines and PlanesPoints, Lines and Planes
Points, Lines and Planes
 
Conditional Statements | If-then Statements
Conditional Statements | If-then StatementsConditional Statements | If-then Statements
Conditional Statements | If-then Statements
 
THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptxTHEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
THEOREMS ON TRIANGLE INEQUALITIES IN ONE TRIANGLE (COT2) - free.pptx
 
Polynomial function
Polynomial functionPolynomial function
Polynomial function
 
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
 
Perpendicular lines
Perpendicular linesPerpendicular lines
Perpendicular lines
 
Inequalities in a triangle
Inequalities in a triangleInequalities in a triangle
Inequalities in a triangle
 
Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 ( Basic Concepts in Geometry )
 
11 2 arcs and central angles lesson
11 2 arcs and central angles lesson11 2 arcs and central angles lesson
11 2 arcs and central angles lesson
 
Chapter 2 : EQUATIONS AND INEQUALITIES
Chapter 2 : EQUATIONS AND INEQUALITIESChapter 2 : EQUATIONS AND INEQUALITIES
Chapter 2 : EQUATIONS AND INEQUALITIES
 
Week 2 -Trapezoid and Kite.pptx
Week 2 -Trapezoid and Kite.pptxWeek 2 -Trapezoid and Kite.pptx
Week 2 -Trapezoid and Kite.pptx
 
Look up! Look Down!
Look up! Look Down!Look up! Look Down!
Look up! Look Down!
 
Sequences, Series, and the Binomial Theorem
Sequences, Series, and the Binomial TheoremSequences, Series, and the Binomial Theorem
Sequences, Series, and the Binomial Theorem
 
8.1 Special Right Triangles
8.1 Special Right Triangles8.1 Special Right Triangles
8.1 Special Right Triangles
 

More from MartinGeraldine

Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptxPagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
MartinGeraldine
 
Agwat Teknolohikal sa Pagitan ng mga Henerasyon.pptx
Agwat  Teknolohikal sa Pagitan ng mga Henerasyon.pptxAgwat  Teknolohikal sa Pagitan ng mga Henerasyon.pptx
Agwat Teknolohikal sa Pagitan ng mga Henerasyon.pptx
MartinGeraldine
 
BATCH 2021 - 2022 (Graduation Requirements).pptx
BATCH 2021 - 2022 (Graduation Requirements).pptxBATCH 2021 - 2022 (Graduation Requirements).pptx
BATCH 2021 - 2022 (Graduation Requirements).pptx
MartinGeraldine
 
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptx
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptxSeat Belt, Cybercrime, Anti-Child Pornography Act.pptx
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptx
MartinGeraldine
 
Philippine AIDS Prevention and Control Act of.pptx
Philippine AIDS Prevention and Control Act of.pptxPhilippine AIDS Prevention and Control Act of.pptx
Philippine AIDS Prevention and Control Act of.pptx
MartinGeraldine
 
Interactions among Living Things in Mangrove Swamps.pptx
Interactions among Living Things in Mangrove Swamps.pptxInteractions among Living Things in Mangrove Swamps.pptx
Interactions among Living Things in Mangrove Swamps.pptx
MartinGeraldine
 
Proving that a Quadrilateral is a Parallelogram.pptx
Proving that a Quadrilateral is a Parallelogram.pptxProving that a Quadrilateral is a Parallelogram.pptx
Proving that a Quadrilateral is a Parallelogram.pptx
MartinGeraldine
 
Environment Awareness Act and Traditional and Alternative Medicine Act.pptx
Environment Awareness Act and Traditional and Alternative Medicine Act.pptxEnvironment Awareness Act and Traditional and Alternative Medicine Act.pptx
Environment Awareness Act and Traditional and Alternative Medicine Act.pptx
MartinGeraldine
 

More from MartinGeraldine (20)

Isip at Kilos-loob, Gagamitin Ko.pptx
Isip at Kilos-loob, Gagamitin Ko.pptxIsip at Kilos-loob, Gagamitin Ko.pptx
Isip at Kilos-loob, Gagamitin Ko.pptx
 
Ang Bayan Kong Plipinas.pptx
Ang Bayan Kong Plipinas.pptxAng Bayan Kong Plipinas.pptx
Ang Bayan Kong Plipinas.pptx
 
Chapter IV- Thesis (Sample).pptx
Chapter IV- Thesis (Sample).pptxChapter IV- Thesis (Sample).pptx
Chapter IV- Thesis (Sample).pptx
 
Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptxPagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
Pagtukoy at Pagtugon sa Epekto ng Migrasyon sa.pptx
 
Atoms and Molecules.pptx
Atoms and Molecules.pptxAtoms and Molecules.pptx
Atoms and Molecules.pptx
 
Responsible Parenthood.pptx
Responsible Parenthood.pptxResponsible Parenthood.pptx
Responsible Parenthood.pptx
 
Agwat Teknolohikal sa Pagitan ng mga Henerasyon.pptx
Agwat  Teknolohikal sa Pagitan ng mga Henerasyon.pptxAgwat  Teknolohikal sa Pagitan ng mga Henerasyon.pptx
Agwat Teknolohikal sa Pagitan ng mga Henerasyon.pptx
 
Ideal Gas Law.pptx
Ideal Gas Law.pptxIdeal Gas Law.pptx
Ideal Gas Law.pptx
 
BATCH 2021 - 2022 (Graduation Requirements).pptx
BATCH 2021 - 2022 (Graduation Requirements).pptxBATCH 2021 - 2022 (Graduation Requirements).pptx
BATCH 2021 - 2022 (Graduation Requirements).pptx
 
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptx
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptxSeat Belt, Cybercrime, Anti-Child Pornography Act.pptx
Seat Belt, Cybercrime, Anti-Child Pornography Act.pptx
 
Isang Pagbubuod ng Katotohanan.pptx
Isang Pagbubuod ng Katotohanan.pptxIsang Pagbubuod ng Katotohanan.pptx
Isang Pagbubuod ng Katotohanan.pptx
 
Philippine AIDS Prevention and Control Act of.pptx
Philippine AIDS Prevention and Control Act of.pptxPhilippine AIDS Prevention and Control Act of.pptx
Philippine AIDS Prevention and Control Act of.pptx
 
Avogadro’s Law.pptx
Avogadro’s Law.pptxAvogadro’s Law.pptx
Avogadro’s Law.pptx
 
Interactions among Living Things in Mangrove Swamps.pptx
Interactions among Living Things in Mangrove Swamps.pptxInteractions among Living Things in Mangrove Swamps.pptx
Interactions among Living Things in Mangrove Swamps.pptx
 
Proving that a Quadrilateral is a Parallelogram.pptx
Proving that a Quadrilateral is a Parallelogram.pptxProving that a Quadrilateral is a Parallelogram.pptx
Proving that a Quadrilateral is a Parallelogram.pptx
 
Environment Awareness Act and Traditional and Alternative Medicine Act.pptx
Environment Awareness Act and Traditional and Alternative Medicine Act.pptxEnvironment Awareness Act and Traditional and Alternative Medicine Act.pptx
Environment Awareness Act and Traditional and Alternative Medicine Act.pptx
 
Maternal Health Concerns.pptx
Maternal Health Concerns.pptxMaternal Health Concerns.pptx
Maternal Health Concerns.pptx
 
Mga Isyu sa Dignidad at Sekswalidad.pptx
Mga Isyu sa Dignidad at Sekswalidad.pptxMga Isyu sa Dignidad at Sekswalidad.pptx
Mga Isyu sa Dignidad at Sekswalidad.pptx
 
Combined Gas Law.pptx
Combined Gas Law.pptxCombined Gas Law.pptx
Combined Gas Law.pptx
 
Median and Area of a Trapezoid.pptx
Median and Area of a Trapezoid.pptxMedian and Area of a Trapezoid.pptx
Median and Area of a Trapezoid.pptx
 

Recently uploaded

Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
EADTU
 
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdfContoh Aksi Nyata Refleksi Diri ( NUR ).pdf
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf
cupulin
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
Peter Brusilovsky
 
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MysoreMuleSoftMeetup
 

Recently uploaded (20)

UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024
 
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUMDEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
DEMONSTRATION LESSON IN ENGLISH 4 MATATAG CURRICULUM
 
AIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.pptAIM of Education-Teachers Training-2024.ppt
AIM of Education-Teachers Training-2024.ppt
 
How to Send Pro Forma Invoice to Your Customers in Odoo 17
How to Send Pro Forma Invoice to Your Customers in Odoo 17How to Send Pro Forma Invoice to Your Customers in Odoo 17
How to Send Pro Forma Invoice to Your Customers in Odoo 17
 
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes GuàrdiaPersonalisation of Education by AI and Big Data - Lourdes Guàrdia
Personalisation of Education by AI and Big Data - Lourdes Guàrdia
 
Graduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptxGraduate Outcomes Presentation Slides - English (v3).pptx
Graduate Outcomes Presentation Slides - English (v3).pptx
 
21st_Century_Skills_Framework_Final_Presentation_2.pptx
21st_Century_Skills_Framework_Final_Presentation_2.pptx21st_Century_Skills_Framework_Final_Presentation_2.pptx
21st_Century_Skills_Framework_Final_Presentation_2.pptx
 
Pharmaceutical Biotechnology VI semester.pdf
Pharmaceutical Biotechnology VI semester.pdfPharmaceutical Biotechnology VI semester.pdf
Pharmaceutical Biotechnology VI semester.pdf
 
Including Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdfIncluding Mental Health Support in Project Delivery, 14 May.pdf
Including Mental Health Support in Project Delivery, 14 May.pdf
 
How to Add a Tool Tip to a Field in Odoo 17
How to Add a Tool Tip to a Field in Odoo 17How to Add a Tool Tip to a Field in Odoo 17
How to Add a Tool Tip to a Field in Odoo 17
 
How to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptxHow to Manage Website in Odoo 17 Studio App.pptx
How to Manage Website in Odoo 17 Studio App.pptx
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
REMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxREMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptx
 
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdfContoh Aksi Nyata Refleksi Diri ( NUR ).pdf
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf
 
SPLICE Working Group: Reusable Code Examples
SPLICE Working Group:Reusable Code ExamplesSPLICE Working Group:Reusable Code Examples
SPLICE Working Group: Reusable Code Examples
 
diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....diagnosting testing bsc 2nd sem.pptx....
diagnosting testing bsc 2nd sem.pptx....
 
OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111
 
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
MuleSoft Integration with AWS Textract | Calling AWS Textract API |AWS - Clou...
 

Activity common tangent- external and internal

  • 2. A. Classify as externally tangent or internally tangent circles 1. Internally tangent 2. Externally tangent
  • 3. Classify as externally tangent or internally tangent circles 3.Externlly tangent 4. Internally tangent
  • 4. B. Determine whether the following lines is an internal tangent or external tangent. 1. 𝑃𝑄 = external tangent 2. 𝑅𝐶 = internal tangent
  • 5. B. Determine whether the following lines is an internal tangent or external tangent. 3. 𝑃𝑄 = external tangent 4. 𝑅𝐹 = external tangent 5. 𝐸𝐹 = internal tangent
  • 6. B. Determine whether the following lines is an internal tangent or external tangent. 6. 𝐴𝐵 = external tangent 7. 𝐶𝐷 = external tangent 8. 𝐸𝐹 = internal tangent 9. 𝐻𝐺 = internal tangent
  • 7. C. Give what is being asked. 1. Let 𝐷𝐴 = 10. If 𝐷𝐵 is 5, find 𝐵𝐴or (r) . Pythagorean Theorem The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
  • 8. c a b 1. 𝐷𝐴 (c) = 10. 𝐷𝐵 (b) = 5 𝐵𝐴 (a)= ? a2 + b2 = c2 𝐵𝐴2 + 𝐷𝐵2 = 𝐷𝐴2 (BA)2 + 52 = 102 (BA)2 + 25 = 100 (BA)2 = 100 – 25 (BA)2 = 75 BA = 75 BA = 25 . 3 BA = 5 𝟑 Solution:
  • 9. 2. Let PO = 5, AO = 3. Find PA. Solution: (PA)2 + (AO)2 = (PO)2 (PA)2 + 32 = 52 (PA)2 + 9 = 25 (PA)2 = 25 – 9 (PA)2 = 16 PA = 16 PA = 4