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Quadrilaterals-Activity-Mid-point theorem (view source)
Revision as of 10:21, 7 November 2019
, 10:21, 7 November 2019→Process (How to do the activity)
=== 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
Non digital -worksheet and pencil.
Non digital - worksheet and pencil.
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
Work shee - t
Work sheet
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
# 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.