APSB - 7 - Maths :: Congruency of Triangles

Go To: APSB-Mathematics-Grade 7

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• Course Content
• Textbook
• Teaching Learning Resource

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)

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