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Similar and congruent triangles (view source)
Revision as of 12:34, 30 June 2022
, 12:34, 30 June 2022Syncing Girija's changes done while migration was in progress
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− +
−=== Concept Map ===
[[File:similar_and_congruent_triangles.mm]]
+
+Concept of similarity is introduced and investigated by comparing triangles and their elements.+
−==== Solved problems/ key questions (earlier was hints for problems). ====
=== Assessments - question banks, formative assessment activities and summative assessment activities ===
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+''[http://karnatakaeducation.org.in/KOER/index.php/ತ್ರಿಭುಜಗಳ_ಸರ್ವಸಮತೆ ಕನ್ನಡ]''</div>
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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−While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
+While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist''']
+__FORCETOC__
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−=== Additional Resources ===
=== Additional Resources ===
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*Web resources:
*Web resources:
**This videos is related congruence of triangle.
**This videos is related congruence of triangle.
−{{#widget:YouTube|id=HwbTJNcZsuc}} {{#widget:YouTube|id=PJ6TVVdIHpg}}
+{{#widget:YouTube|id=HwbTJNcZsuc}} {{#widget:YouTube|id=PJ6TVVdIHpg}} {{#widget:YouTube|id=5of3Z9hr_7A}}
+{{#widget:YouTube|id=mFpvOZP4aPI}}
*Books and journals
*Books and journals
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====Non-OER====
====Non-OER====
*Web resources:
*Web resources:
−**[https://www.mathsisfun.com/geometry/triangles-congruent-finding.html Math is fun]
+**[https://www.mathsisfun.com/geometry/triangles-congruent-finding.html Math is fun] : This website gives descriptions and diagrams related to rules of congruency
*Books and journals
*Books and journals
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Shapes can be combined together to form congruent shapes. Identifying such shapes for congruence is explored in this activity.
Shapes can be combined together to form congruent shapes. Identifying such shapes for congruence is explored in this activity.
−====== [[Congruence of regular geometric shapes]] ======
+====== [[Congruence of regular geometric shapes|Congruence of geometric shapes]] ======
This activity involves in identifying the congruent shapes among the shapes of different geometric shapes.<span></span><span></span>
This activity involves in identifying the congruent shapes among the shapes of different geometric shapes.<span></span><span></span>
====Concept # 2. Postulates for congruence of triangles.====
====Concept # 2. Postulates for congruence of triangles.====
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# A pair of corresponding angles and a non-included side are equal.-- AAS (angle angle side) congruency postulate.
# A pair of corresponding angles and a non-included side are equal.-- AAS (angle angle side) congruency postulate.
# HL (hypotenuse leg of a right triangle) :Two right triangles are congruent if the hypotenuse and one leg are equal.Also known as RHS postulate.
# HL (hypotenuse leg of a right triangle) :Two right triangles are congruent if the hypotenuse and one leg are equal.Also known as RHS postulate.
−=====Activities #=====
+=====Activity 1=====
====== [[Congruence in triangles – SSS Rule]] ======
====== [[Congruence in triangles – SSS Rule]] ======
−Investigating the possibility of congruence if three sides of a triangle are congruent.
+Investigating the possibility of congruence if three sides of two triangles are congruent.
+===== Activity 2 =====
====== [[Congruence in triangles – SAS Rule]] ======
====== [[Congruence in triangles – SAS Rule]] ======
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====== [[Introduction to similar triangles|Introduction to similar triangles]] ======
====== [[Introduction to similar triangles|Introduction to similar triangles]] ======
−The concept of similarity is introduced and investigated by comparing elements of two triangles.
==== Concept # 5. Tests for similarity ====
==== Concept # 5. Tests for similarity ====
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=====Activities #=====
=====Activities #=====
======[[Similarity test - AA postulate]]======
======[[Similarity test - AA postulate]]======
−In two triangles, if the angles are equal, then the sides opposite to the equal angles are in the same ratio and hence the two triangles are similar.
+In two triangles, if the angles are equal, then the sides opposite to the equal angles are in the same ratio and hence the two triangles are similar.
−=== Projects (can include math lab/ science lab/ language lab) ===
=== Projects (can include math lab/ science lab/ language lab) ===
+'''''Laboratory Manuals''' - Mathematics : [https://ncert.nic.in/pdf/publication/sciencelaboratorymanuals/classIXtoX/mathematics/lelm405.pdf Click here] to refer to activity 13,15,16,17 and 18'' which explains the similarity of two Triangles.
−<span></span><span></span>
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+
+[[Category:Triangles]]
+[[Category:Class 8]]
+[[Category:Class 9]]
