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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°
| + | 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. |
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| ===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]” ,''' | + | *#'''“[https://ggbm.at/n8xcdff9 a. Angles in a right triangle.ggb]” ,''' |
− | *#'''“[https://ggbm.at/a2jjgpkn 7b. Angle sum property proof.ggb]” ,''' | + | *#'''“[https://ggbm.at/zwcggpwg b. Angle sum property proof.ggb]” ,''' |
− | *#'''“[https://ggbm.at/fskbjzxj 7c. Angle sum property of a triangle.ggb]”''' | + | *#'''“[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]” | + | {{Geogebra|n8xcdff9}} |
| + | *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]” | + | {{Geogebra|zwcggpwg}} |
| + | *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]” | + | {{Geogebra|HjfczzyE}} |
| + | *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]] |
| + | [[Category:Class 8]] |