1,491
edits
Changes
From Karnataka Open Educational Resources
→Exterior angle theorem
<!-- This portal was created using subst:box portal skeleton -->
<!-- This portal was created using subst:box portal skeleton -->
<!-- BANNER ACROSS TOP OF PAGE -->
<!-- BANNER ACROSS TOP OF PAGE -->
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'''].
===Concept Map ===
===Concept Map ===
[[File:5. Triangles.mm]]
[[File:Triangles.mm]]
===Additional Resources===
===Additional Resources===
==== Resource Title and description ====
1.[http://www.mathopenref.com/tocs/triangletoc.html Triangles]- This resource contain all information related to triangle like definition, types of triangle, perimeter, congruency etc.,
2. [http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.TRIA Triangles]- This helps to know the aplication of geometry in our daily life, it contain videos and interactives.
3. [http://www.mathopenref.com/tocs/congruencetoc.html Congruence]
4. [http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.SIM Similarity and Congruence]
5. The below video gives information about Angle Sum Property by Gireesh K S and Suchetha S S
{{#widget:YouTube|id=GfP8M5GwcdQ}}
====OER====
====OER====
* Web resources:
* Web resources:
==== Concept #: Formation of a triangle, elements of a triangle and its measures ====
==== Concept #: Formation of a triangle, elements of a triangle and its measures ====
The triangle is the basic geometrical figure that allows us to best study geometrical shapes. A quadrilateral can be partitioned into two triangles, a pentagon into three triangles, a hexagon into four triangles, and so on.These partitions allow us to study the characteristics of these figures. And so it is with Euclidean geometry—the triangle is one of the very basic parts on which most other figures depend. Here we will be investigating triangles and related its properties
The triangle is the basic geometrical figure that allows us to best study geometrical shapes. A quadrilateral can be partitioned into two triangles, a pentagon into three triangles, a hexagon into four triangles, and so on.These partitions allow us to study the characteristics of these figures. And so it is with Euclidean geometry—the triangle is one of the very basic element on which most other figures depend. Here we will be investigating triangles and related its properties
===== Activities # =====
===== Activities # =====
====== [[Interior and exterior angles in triangle]] ======
====== [[Interior and exterior angles in triangle]] ======
Interior angles are angles that are formed with in the closed figure by the adjacent sides.An exterior angle is an angle formed by a side and the extension of an adjacent side. Exterior angles form linear pairs with the interior angles.
Interior angles are angles that are formed with in the closed figure by the adjacent sides. An exterior angle is an angle formed by a side and the extension of an adjacent side. Exterior angles form linear pairs with the interior angles.
[[Category:Triangles]]
[[Category:Triangles]]
[[Category:Class 8]]
[[Category:Class 10]]
==== Concept #: Types of triangles based on sides and angles ====
==== Concept #: Types of triangles based on sides and angles ====
====== [[Angle sum property]] ======
====== [[Angle sum property]] ======
Interior angles of a triangle are in relation and also determine the type of angles that can forms a triangle. This also helps in determining an unknown angle measurement.
Interior angles of a triangle are in relation and also determine the type of angles that can forms a triangle. This also helps in determining an unknown angle measurement.
====== [[Angle sum property of a Triangle]] ======
====== [[Relation between interior and exterior angles in triangle|Exterior angle theorem]] ======
====== [[Relation between interior and exterior angles in triangle|Exterior angle theorem]] ======
Interior angle and the corresponding angle form a linear pair. This exterior angle in relation to the remote interior angles and their dependencies are deducted with the theorem.
Interior angle and the corresponding angle form a linear pair. This exterior angle in relation to the remote interior angles and their dependencies are deducted with the theorem.
====== [[Exterior angle property of a Triangle]] ======
==== Concept #: Construction of triangles ====
==== Concept #: Construction of triangles ====
