Difference between revisions of "APSB - 7 - Maths :: Congruency of Triangles"

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Go To: [[APSB-Mathematics-Grade 7]]
 
Go To: [[APSB-Mathematics-Grade 7]]
  
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=Lesson Plan=
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=Course Content=
  
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[Author - Kripa S]
 
  
 +
<h2> Course Content / Subtopic list: </h2>
 +
<br>
  
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'''Objective:''' Explain concept of congruence and different congruency tests for triangles
+
<ol>
 +
  <li>Introduction- Definition, Congruence Of Plane Figure</li>
 +
  <li>Congruence Of Triangles, Criteria For Congruency</li>
 +
  <li>Side-Angle-Side Congruence</li>
 +
  <li>Angle-Side-Angle Congruence (Asa)</li>
 +
  <li>Right-Angle Hypotenuse Side Congruence</li>
  
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'''Subtopics to be covered:'''
+
</ol>
  
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- congruency of line segments, shapes, triangles
 
  
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- SSS, SAS, ASA, right angled triangle congruency tests
+
=Textbook=
  
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'''Learning Outcome:'''
+
<h2> Semester 1 </h2> <br>
 +
[https://drive.google.com/file/d/1x7NOdC1hrTtJqVpQQBY-d3wiIAoveNIT/view TextBook Link ]
  
−
- Students will be able to identify if two given triangles are congruent under one of the four tests
+
<h2> Semester 2 </h2> <br>
 +
[https://drive.google.com/file/d/1waKg2PeIli2w464kYiPQE38m7qhFYdEk/view TextBook Link ] <br>
  
−
- They can solve problems to prove congruency of sides or angles using the tests of congruency
+
=Teaching Learning Resource=
  
 +
<h2>Lesson Plan</h2>
  
−
=Textbook=
 
  
 
[Author - Kripa S]
 
[Author - Kripa S]
  
  
−
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7TM_MAT.pdf#page=171 (Telangana Board) (Telugu Medium)
+
'''Objective:''' Explain concept of congruence and different congruency tests for triangles
  
−
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (Telugu Medium)
+
'''Subtopics to be covered:'''
  
−
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7EM_MAT.pdf#page=171 (Telangana Board) (English Medium)
+
- congruency of line segments, shapes, triangles
 +
 
 +
- SSS, SAS, ASA, right angled triangle congruency tests
 +
 
 +
'''Learning Outcome:'''
 +
 
 +
- Students will be able to identify if two given triangles are congruent under one of the four tests
 +
 
 +
- They can solve problems to prove congruency of sides or angles using the tests of congruency
  
−
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (English Medium)
 
  
  
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=Videos=
+
<h2>Videos</h2>
  
 
[Author - Vinaya Santhosh]
 
[Author - Vinaya Santhosh]
Line 43: Line 57:
  
  
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=Images=
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<h2>Images</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
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=Activities=
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<h2>Activities</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 65: Line 79:
  
  
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=Additional Aids=
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<h2>Additional Aids</h2>
 +
 
 +
 
 
[Contributor - Sai Kiran Kumar Reddy]
 
[Contributor - Sai Kiran Kumar Reddy]
  
 
https://drive.google.com/open?id=0BzNF2YyqQxJ-MmpzSTNjc3FDbGc
 
https://drive.google.com/open?id=0BzNF2YyqQxJ-MmpzSTNjc3FDbGc
  
−
=Transliteration=
+
 
 +
<h2>Transliteration</h2>
 +
 
 +
 
 
[Contributor - Koganti Manasa]
 
[Contributor - Koganti Manasa]
 
{| class="wikitable"  
 
{| class="wikitable"  
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  |}
 
  |}
  
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=Worksheets=
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<h2>Worksheets</h2>
−
[Contributor - Sai Kiran Kumar Reddy]
+
 
 +
Worksheets  [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4485_V1.pdf (Worksheet 1)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4486_V1.pdf (Worksheet 2)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4487_V1.pdf (Worksheet 3)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4488_V1.pdf (Worksheet 4)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4489_V1.pdf (Worksheet 5)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4490_V1.pdf (Worksheet 6)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4491_V1.pdf (Worksheet 7)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4492_V1.pdf (Worksheet 8)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4493_V1.pdf (Worksheet 9)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4494_V1.pdf (Worksheet 10)
 +
 
 +
 
 +
Answerkeys [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4485_V1.docx (Answerkey 1)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4486_V1.docx  (Answerkey 2)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4487_V1.docx (Answerkey 3)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4488_V1.docx (Answerkey 4)
 +
 
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4490_V1.docx (Answerkey 5)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4491_V1.docx (Answerkey 6)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4492_V1.docx (Answerkey 7)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4493_V1.docx (Answerkey 8)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4494_V1.docx (Answerkey 9)
 +
 
 +
 
 +
Worksheets  [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4485_V1.pdf (Worksheet 1)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4486_V1.pdf (Worksheet 2)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4487_V1.pdf (Worksheet 3)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4488_V1.pdf (Worksheet 4)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4489_V1.pdf (Worksheet 5)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4490_V1.pdf (Worksheet 6)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4491_V1.pdf (Worksheet 7)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4492_V1.pdf (Worksheet 8)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4493_V1.pdf (Worksheet 9)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4494_V1.pdf (Worksheet 10)
 +
 
 +
 
 +
Answerkeys [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4485_V1.docx (Answerkey 1)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4486_V1.docx  (Answerkey 2)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4487_V1.docx (Answerkey 3)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4488_V1.docx (Answerkey 4)
 +
 
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4490_V1.docx (Answerkey 5)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4491_V1.docx (Answerkey 6)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4492_V1.docx (Answerkey 7)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4493_V1.docx (Answerkey 8)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4494_V1.docx (Answerkey 9)
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-NnhNSDQ2RnMtcEU
 
  
−
=Assessments=
+
<h2>Assessments</h2>
 +
[Contributor - Vaishnavi Ambati]
  
 +
https://drive.google.com/open?id=1ygt37TjepaLPJnO6lrv2g1yaIOsWzbGo (Question bank - English)
 
<headertabs/>
 
<headertabs/>
 
<vote type=1 />
 
<vote type=1 />
 
<comments/>
 
<comments/>

Latest revision as of 11:11, 23 August 2023

Go To: APSB-Mathematics-Grade 7

[edit]

Course Content / Subtopic list:


  1. Introduction- Definition, Congruence Of Plane Figure
  2. Congruence Of Triangles, Criteria For Congruency
  3. Side-Angle-Side Congruence
  4. Angle-Side-Angle Congruence (Asa)
  5. Right-Angle Hypotenuse Side Congruence


Semester 1


TextBook Link

Semester 2


TextBook Link

Lesson Plan


[Author - Kripa S]


Objective: Explain concept of congruence and different congruency tests for triangles

Subtopics to be covered:

- congruency of line segments, shapes, triangles

- SSS, SAS, ASA, right angled triangle congruency tests

Learning Outcome:

- Students will be able to identify if two given triangles are congruent under one of the four tests

- They can solve problems to prove congruency of sides or angles using the tests of congruency


Videos

[Author - Vinaya Santhosh]


https://www.youtube.com/watch?v=J4JGv7RUm-s ( త్రిభుజాల సర్వసమానత్వం (Congruence of Triangles))


Images

[Author - Kripa S]


https://s3-ap-southeast-1.amazonaws.com/learnhive/lcards/Conditions-of-Congruence-of-Two-Triangles-521f29a53844f.png (Tests of Congruence)

http://passyworldofmathematics.com/Images/pwmImagesSix/CongruentTrianglesThirteen550x418JPG.jpg (Congruency test example 2)


Activities

[Author - Kripa S]


1. Check the biscuits in a packet. Are they all alike? Are they congruent?

2. Check the chips in a packet. Are they alike and congruent? Why not ?

3. Take two congruent copies of a triangle. By paper folding, investigate if they have equal altitudes. Do they have equal medians? What can you say about their perimeters and areas?


Additional Aids


[Contributor - Sai Kiran Kumar Reddy]

https://drive.google.com/open?id=0BzNF2YyqQxJ-MmpzSTNjc3FDbGc


Transliteration


[Contributor - Koganti Manasa]

Term Transliterated Term Translated Term
Congruency కాంగ్రుఎన్సి సర్వసమానత్వం
Triangle ట్రైయాంగిల్ త్రిభుజం
Line Segment లైన్ సెగ్మెంట్ రేఖా ఖండం
Criterion క్రైటీరియన్ నియమాలు
Right Angle రైట్ యాంగిల్ లంబ కోణం
Equilateral ఈక్విలేట్రల్ సమబాహు
Obtuse Angle అబ్ట్యూస్ యాంగిల్ అధిక కోణం
Construct కన్స్ట్రక్ట్ నిర్మానం
Hypotenuse హైపోటిన్యూస్ కర్ణము
Altitudes ఆల్టిట్యూడ్స్ ఉన్నతులు
Isosceles ఐసోసిలెస్ సమద్విబాహు

Worksheets

Worksheets [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4485_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4486_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4487_V1.pdf (Worksheet 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4488_V1.pdf (Worksheet 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4489_V1.pdf (Worksheet 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4490_V1.pdf (Worksheet 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4491_V1.pdf (Worksheet 7)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4492_V1.pdf (Worksheet 8)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4493_V1.pdf (Worksheet 9)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4494_V1.pdf (Worksheet 10)


Answerkeys [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4485_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4486_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4487_V1.docx (Answerkey 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4488_V1.docx (Answerkey 4)


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4490_V1.docx (Answerkey 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4491_V1.docx (Answerkey 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4492_V1.docx (Answerkey 7)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4493_V1.docx (Answerkey 8)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4494_V1.docx (Answerkey 9)


Worksheets [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4485_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4486_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4487_V1.pdf (Worksheet 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4488_V1.pdf (Worksheet 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+139_ST+4489_V1.pdf (Worksheet 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4490_V1.pdf (Worksheet 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4491_V1.pdf (Worksheet 7)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4492_V1.pdf (Worksheet 8)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4493_V1.pdf (Worksheet 9)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+140_ST+4494_V1.pdf (Worksheet 10)


Answerkeys [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4485_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4486_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4487_V1.docx (Answerkey 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+139_ST+4488_V1.docx (Answerkey 4)


https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4490_V1.docx (Answerkey 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4491_V1.docx (Answerkey 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4492_V1.docx (Answerkey 7)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4493_V1.docx (Answerkey 8)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+140_ST+4494_V1.docx (Answerkey 9)


Assessments

[Contributor - Vaishnavi Ambati]

https://drive.google.com/open?id=1ygt37TjepaLPJnO6lrv2g1yaIOsWzbGo (Question bank - English)

0.00
(0 votes)


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