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From Karnataka Open Educational Resources
Quadrilaterals-Activity-Mid-point theorem (view source)
Revision as of 12:59, 7 November 2019
, 12:59, 7 November 2019→Process (How to do the activity)
Each group gets this set and each member picks one chit and makes a sketch
Each group gets this set and each member picks one chit and makes a sketch
# Students should plot the mid-point of two sides (Segment AB, and AC, as D and E) and connect these with a line segment (Join these mid-points D and E. Label it Segment DE). Show [[:File:Mid-point theorem 1.ggb|Mid-point theorem1.ggb]] step by step.
# Students should plot the mid-point of two sides (Segment AB, and AC, as D and E) and connect these with a line segment (Join these mid-points D and E. Label it Segment DE). 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 DE and length of the third side BC 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 B and C connecting the third side, with the two angles formed on the two mid-points, D and E
# 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.
