NCERT - 7 - Maths :: Congruence of Triangles
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[Contributor - 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
[Contributor - Kripa S]
http://epathshala.nic.in/wp-content/doc/book/flipbook/Class%20VII/0757-Ganit/Chap-7/index.html (NCERT Hindi Medium)
http://epathshala.nic.in/wp-content/doc/book/flipbook/Class%20VII/0756-Mathematics/Chapter%207/index.html (NCERT English Medium)
https://drive.google.com/open?id=0BzNF2YyqQxJ-QlU4TUlIMUJNVkk (JEPC Board) (Hindi Medium)
[Contributor - Rishi Mazumdar]
(Source - Khan Academy)
https://hi.khanacademy.org/math/in-math-by-grade/in-seventh-grade-math/in-seventh-grade-math/congruence-triangles (Hindi - Congruency in Triangles)
[Contributor - 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)
[Contributor - 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 - Sneha Tripathi]
https://drive.google.com/open?id=0BzNF2YyqQxJ-LUNPN2NsMmR6Zm8
| Term' | 'Transliterated Term' | 'Translated Term' | |
| congruence | कोंगरुइन्स | सर्वांगसमता | |
| line segments | लाइन सेग्मेंट्स | तल | आकृतियों |
| triangle | ट्रायंगल | त्रिभुज या त्रिकोण | |
| acute angle | एक्यूट एंगल | न्यून कोण | |
| obtuse angle | ऑब्टूसे एंगल | अधिक कोण | |
| right angle | राइट एंगल | समकोण | |
| vertically opposite angle | वर्टिकली ओप्पोसिट एंगल | शीर्षाभिमुख कोण | |
| correspondence | करेस्पोंडेंस | सुमेलन | |
| included angle | इनक्लूडेड एंगल | अंतगर्त कोण | |
| included side | इनक्लूडेड साइड | अंतगर्त भुजा |
[Contributor - Sneha Tripathi}
https://drive.google.com/open?id=0BzNF2YyqQxJ-T3JBUGVWM29fNW8
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