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| Constructing geometric shapes to precision using a scale and a compass helps in understanding of properties of the shape. Constructing geometric shapes with minimum number of parameters enhances thinking skills. | | Constructing geometric shapes to precision using a scale and a compass helps in understanding of properties of the shape. Constructing geometric shapes with minimum number of parameters enhances thinking skills. |
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− | The following constructions are based on three essential parameters that are required for construction. | + | The following constructions are based on three essential parameters that are required for construction following the SSS, SAS and ASA theorems |
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| ===== Activities ===== | | ===== Activities ===== |
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− | ====== [[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:]] Construction of a triangle based on the SSS congruence rule ====== |
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− | ====== [[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 ====== |
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− | ====== [[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 ====== |
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− | ====== [[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 ====== |
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− | ====== [[Construction of a triangle with perimeter and base angles]]: ====== | + | ====== [[Construction of a triangle with perimeter and base angles]]: Construction on a triangle with give parameters using SAS congruence rule ====== |
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− | ====== [[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 ====== |
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− | ====== [[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 ====== |
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| ==== Concept 5: Concurrency in triangles ==== | | ==== Concept 5: Concurrency in triangles ==== |