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| === Materials/ Resources needed === | | === Materials/ Resources needed === |
− | Digital - Computer, Geogebra application, projector. Geogebra file - Mid-point theorem.ggb | + | Digital - Computer, Geogebra application, projector. Geogebra files- Mid-point theorem1.ggb and Mid-point theorem2.ggb |
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− | Non digital -worksheet and pencil. | + | Non digital - worksheet and pencil. |
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| === Process (How to do the activity) === | | === Process (How to do the activity) === |
− | Work shee - t | + | Work sheet |
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| Each group member will construct on her / his notebook, using pencil, scale, protractor, and compass a triangle, with the measures provided | | Each group member will construct on her / his notebook, using pencil, scale, protractor, and compass a triangle, with the measures provided |
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− | # Students should plot the mid-point of two sides and connect these with a line segment. | + | # Students should plot the mid-point of two sides and connect these with a line segment. Show [[:File:Mid-point theorem 1.ggb|Mid-point theorem1.ggb]] step by step. |
| ## They should measure the length of this segment and length of the third side and check if there is any relationship | | ## They should measure the length of this segment and length of the third side and check if there is any relationship |
| ## They should measure the angles formed at the two vertices connecting the third side, with the two angles formed on the two mid-points | | ## They should measure the angles formed at the two vertices connecting the third side, with the two angles formed on the two mid-points |
| # Question them if there is any relationship between the two segment lengths and the measures of the two pairs of angles. | | # Question them if there is any relationship between the two segment lengths and the measures of the two pairs of angles. |
| ## Ask them why these relationships are true across different constructions. | | ## Ask them why these relationships are true across different constructions. |
− | # Prove the theorem | + | # Prove the theorem, using [[:File:Mid-point theorem 2.ggb|Mid-point theorem2.ggb]] |
| ## In △ ABC, D and E are the midpoints of sides AB and AC respectively. D and E are joined. | | ## In △ ABC, D and E are the midpoints of sides AB and AC respectively. D and E are joined. |
| ## Given: AD = DB and AE = EC. To Prove: DE ∥∥ BC and DE = 1/2 BC. | | ## Given: AD = DB and AE = EC. To Prove: DE ∥∥ BC and DE = 1/2 BC. |