APSB - 7 - Maths :: Congruency of Triangles
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[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
[Author - Kripa S]
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7TM_MAT.pdf#page=171 (Telangana Board) (Telugu Medium)
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (Telugu Medium)
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/7EM_MAT.pdf#page=171 (Telangana Board) (English Medium)
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (English Medium)
[Author - Vinaya Santhosh]
https://www.youtube.com/watch?v=J4JGv7RUm-s ( త్రిభుజాల సర్వసమానత్వం (Congruence of Triangles))
[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)
[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?
[Contributor - Sai Kiran Kumar Reddy]
https://drive.google.com/open?id=0BzNF2YyqQxJ-MmpzSTNjc3FDbGc
| 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 |
[Contributor - Sai Kiran Kumar Reddy]
https://drive.google.com/open?id=0BzNF2YyqQxJ-NnhNSDQ2RnMtcEU
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