NCERT - 7 - Maths :: Congruence of Triangles

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Go To: NCERT-Mathematics-Grade 7

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Course Content / Subtopic list:


  1. Congruence Of- Plane Figure, Line Segments
  2. Congruence Of Triangle
  3. Criteria For Congruence Of Triangles
  4. Congruence-Right Angled Triangle

Lesson Plan

[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



Videos

[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)

Images

[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)

Activities

[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?

Additional Aids

[Contributor - Sneha Tripathi]

https://drive.google.com/open?id=0BzNF2YyqQxJ-LUNPN2NsMmR6Zm8

Transliteration

[Contributor - Suwetha]

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

Worksheets

[Contributor - Sneha Tripathi}

https://drive.google.com/open?id=0BzNF2YyqQxJ-T3JBUGVWM29fNW8


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