Difference between revisions of "Sum of the interior angles of a quadrilateral"
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| + | The sum of the measures of the angles in any quadrilateral is 4 right angles. | ||
=== Objectives === | === Objectives === | ||
To establish that sum of interior angles of any quadrilateral is 360° | To establish that sum of interior angles of any quadrilateral is 360° | ||
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===Estimated Time=== | ===Estimated Time=== | ||
40 minutes | 40 minutes | ||
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* Geogebra files : ‘[https://ggbm.at/dseaa3pq Sum of the interior angles of a quadrilateral.ggb]’ | * Geogebra files : ‘[https://ggbm.at/dseaa3pq Sum of the interior angles of a quadrilateral.ggb]’ | ||
| − | + | {{Geogebra|dseaa3pq}} | |
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| + | ===Process (How to do the activity)=== | ||
* In the geogebra sketch for the quadrilateral measure the sides and angles at the vertices | * In the geogebra sketch for the quadrilateral measure the sides and angles at the vertices | ||
* Calculate the sum of these angles of the quadrilateral? Note your observations | * Calculate the sum of these angles of the quadrilateral? Note your observations | ||
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| − | '''Evaluation at the end of the activity''' | + | '''Evaluation at the end of the activity''' |
| − | * Is the sum of any quadrilateral 360<sup>o</sup>. | + | * Is the sum of all angles in any quadrilateral 360<sup>o</sup>. |
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| + | [[Category:Quadrilaterals]] | ||
Latest revision as of 07:33, 7 November 2019
The sum of the measures of the angles in any quadrilateral is 4 right angles.
Objectives
To establish that sum of interior angles of any quadrilateral is 360°
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles, properties of triangle
Materials/ Resources needed
- Digital: Computer, geogebra application, projector.
- Non digital : Worksheet and pencil
- Geogebra files : ‘Sum of the interior angles of a quadrilateral.ggb’
Download this geogebra file from this link.
Process (How to do the activity)
- In the geogebra sketch for the quadrilateral measure the sides and angles at the vertices
- Calculate the sum of these angles of the quadrilateral? Note your observations
| Quadrilateral | Side1 | Side2 | Side3 | Side4 | Angle1 | Angle2 | Angle3 | Angle4 | Angle1+Angle 2+ Angle3 + Angle 4 | Whatdo you observe about their sum |
| Q1 | ||||||||||
| Q2 | ||||||||||
| Q3 |
- Draw any one diagonal. What do you notice? What is the quadrilateral divided into? How many triangles are formed?
- What is the measure of the sum of angles in each quadrilateral? So what is the measure of all the angles of the quadrilateral?
- Make different quadrilaterals. Divide it into two triangles, measure the angles of the two triangles, check their sum.
- Tabulate the angles of the two triangles
| Observation | Triangle1 | Triangle2 | Sum of angles of two triangle | ||||||
| Angle 1 | Angle 2 |
Angle 3 |
Sum of angles | Angle 1 | Angle 2 |
Angle 3 |
Sum of angles | ||
| Q1 | |||||||||
| Q2 | |||||||||
| Q3 | |||||||||
Evaluation at the end of the activity
- Is the sum of all angles in any quadrilateral 360o.