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Line 46:
Line 46: − Angles that are formed when a triangle is formed.+ − Triangles can be based on its elements such as sides and angles. Students are able to recognize these formations.+ + − Formation of a triangle depends on measures of sides.+ − Formation of a triangle depends on measures of angles.+ Line 66:
Line 67: − Relation between angles formed inside a triangle+ − Relation between angles formed inside a triangles and angles outside a triangle. Exterior and interior angles and their dependencies+ Line 79:
Line 80: − Construction of a triangle based on the SSS congruence rule+ − + − + − + − − ====== [[Construction of a triangle with perimeter and base angles]] ====== − Construction on a triangle with give parameters using SAS congruence rule − + − + + + +
→Interior and exterior angles in triangle
====== [[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.
[[Category:Triangles]]
[[Category:Triangles]]
[[Category:Class 8]]
[[Category:Class 8]]
==== Concept 2: Types of triangles based on sides and angles ====
==== Concept 2: Types of triangles based on sides and angles ====
Variations in elements that make a triangle results in distinct triangles. Recognizing these variations helps in interpreting changes that are possible with in a triangle.
===== Activities =====
===== Activities =====
====== [[Types of triangles based on sides]] ======
====== [[Types of triangles based on sides]] ======
A triangle can be drawn with different measures of sides and these sides determine the kind of triangle formed.
====== [[Types of triangles based on angles]] ======
====== [[Types of triangles based on angles]] ======
A triangle can be drawn with different measures of angles which also determine the kind of triangle formed.
==== Concept 3: Theorems and properties ====
==== Concept 3: Theorems and properties ====
====== [[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.
====== [[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.
==== Concept 4: Construction of triangles ====
==== Concept 4: Construction of triangles ====
====== [[Construction of a triangle with 3 sides|Construction of a triangle with three sides]] ======
====== [[Construction of a triangle with 3 sides|Construction of a triangle with three sides]] ======
Investigating formation of a unique triangle with the given parameters as the three sides. Constriction follows SSS congruence rule.
====== [[Construction of a triangle with two sides and included angle|Construction of a triangle with two sides and an angle]] ======
====== [[Construction of a triangle with two sides and included angle|Construction of a triangle with two sides and an angle]] ======
Construction of a triangle based on SAS congruence rule
Formation of a triangle when two of the sides and an angle of a triangle are known and recognizing the role of the given angle. Construction of a triangle follows SAS congruence rule for the given parameter.
====== [[Construction of a triangle with two angles and included side]] ======
====== [[Construction of a triangle with two angles and included side]] ======
Construction of a triangle based on ASA congruence rule
Construction of a triangle when two angles of a triangle and a side are known and understanding the side given can only be constructed between the two angles to form a unique triangle. Construction follows ASA congruence rule.
====== [[Construction of a right triangle with a side and hypotenuse|Construction of a right angled triangle]] ======
====== [[Construction of a right triangle with a side and hypotenuse|Construction of a right angled triangle]] ======
Construction of a triangle based on RH congruence rule
Right angle is one of the angles of the triangle the and assimilating other parameters that are required to complete construction. Construction of a triangle based on RH congruence rule.
====== [[Construction of a triangle with side, angle and sum of other two sides|Construction of a triangle with a side, an angle and sum of two sides]] ======
====== [[Construction of a triangle with side, angle and sum of other two sides|Construction of a triangle with a side, an angle and sum of two sides]] ======
Construction on a triangle with give parameters using SAS congruence rule
The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the third side. Construction of a triangle with given parameters sum of two sides and an angle follows SAS congruence rule.
====== [[Construction of a triangle with side, angle and difference of other two sides|Construction of a triangle with a side, an angle and difference to two sides]] ======
====== [[Construction of a triangle with side, angle and difference of other two sides|Construction of a triangle with a side, an angle and difference to two sides]] ======
Construction on a triangle with give parameters using SAS congruence rule
Difference of any two sides and an angle as parameters known to construct a triangle follows SAS congruence rule.
====== [[Construction of a triangle with perimeter and base angles]] ======
Constructing a unique triangle with perimeter and with other two parameters the base angles of the triangle follows construction on a triangle using SAS congruence rule.
==== Concept 5: Concurrency in triangles ====
==== Concept 5: Concurrency in triangles ====