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The angle sum property of a triangle states that the angles of a triangle always add up to 180°. Every triangle has three angles and whether it is an acute, obtuse, or right triangle, the angles sum to 180°
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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.
    
===Objectives===
 
===Objectives===
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*Non digital : Worksheet and pencil.
 
*Non digital : Worksheet and pencil.
 
*Geogebra files :
 
*Geogebra files :
*#'''“[https://ggbm.at/wjdsrz4w 7a. Angles in a right triangle.ggb]” ,'''
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*#'''“[https://ggbm.at/n8xcdff9 a. Angles in a right triangle.ggb]” ,'''
*#'''“[https://ggbm.at/a2jjgpkn 7b. Angle sum property proof.ggb]” ,'''
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*#'''“[https://ggbm.at/zwcggpwg b. Angle sum property proof.ggb]” ,'''
*#'''“[https://ggbm.at/fskbjzxj 7c. Angle sum property of a triangle.ggb]”'''
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*#'''“[https://ggbm.at/HjfczzyE c. Angle sum property of a triangle.ggb]”'''
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
*Use the file - “[https://ggbm.at/wjdsrz4w 7a. Angles in a right triangle.ggb]”
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{{Geogebra|n8xcdff9}}
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*Use the file - “[https://ggbm.at/wjdsrz4w a.Angles in a right triangle.ggb]”
 
*Ask students what is the kind of triangle they observe.
 
*Ask students what is the kind of triangle they observe.
 
*Draw a parallel line to the side containing the right angle through the opposite vertex by dragging point D along the x-axis
 
*Draw a parallel line to the side containing the right angle through the opposite vertex by dragging point D along the x-axis
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*Students should be able to recognize the alternate angles formed. Is the alternate angle same as one of the angles of the triangle.
 
*Students should be able to recognize the alternate angles formed. Is the alternate angle same as one of the angles of the triangle.
 
*So what can you say about the all the angles of the triangle?
 
*So what can you say about the all the angles of the triangle?
*With the file - “[https://ggbm.at/a2jjgpkn 7b. Angle sum property proof.ggb]”
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{{Geogebra|zwcggpwg}}
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*With the file - “[https://ggbm.at/a2jjgpkn b. Angle sum property proof.ggb]”
 
*Draw a line perpendicular to a side passing through the opposite vertex. How many triangles are formed. What kinds of triangles are formed?
 
*Draw a line perpendicular to a side passing through the opposite vertex. How many triangles are formed. What kinds of triangles are formed?
 
*In each of the two triangles if on angle is 90<sup>o</sup>, what will be the sum of the other two angles. What is the sum of these angles?
 
*In each of the two triangles if on angle is 90<sup>o</sup>, what will be the sum of the other two angles. What is the sum of these angles?
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!What can you say about sum of angles?
 
!What can you say about sum of angles?
 
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*With the file – “[https://ggbm.at/fskbjzxj 7c. Angle sum property of a triangle.ggb]”
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{{Geogebra|HjfczzyE}}
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*With the file – “[https://ggbm.at/fskbjzxj c. Angle sum property of a triangle.ggb]”
 
*Ask students what happens when the three angles of the triangle are placed adjacent to each other.
 
*Ask students what happens when the three angles of the triangle are placed adjacent to each other.
 
*What can you say about the line drawn?
 
*What can you say about the line drawn?
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'''Evaluation at the end of the activity'''
 
'''Evaluation at the end of the activity'''
 
* Have  students able to conclude if the sum of angles in any triangle is  180<sup>o</sup>?
 
* Have  students able to conclude if the sum of angles in any triangle is  180<sup>o</sup>?
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[[Category:Triangles]]
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[[Category:Class 8]]

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