Anonymous

Changes

From Karnataka Open Educational Resources
Line 30: Line 30:  
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 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 B and C connecting the third side, with the two angles formed on the two mid-points, D and E. For this each student will make three tables, each table  will have the following columns -
+
# 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 B and C connecting the third side, with the two angles formed on the two mid-points, D and E. For this each student will make three tables, each table  will have the following columns -
### Table for vertex A + Sides from the vertex,  Third side, Midpoint segment name, midpoint segment length, comparison with the side length.  
+
## Table for vertex A + Sides from the vertex,  Third side, Midpoint segment name, midpoint segment length, comparison with the side length.  
### Angle formed at midpoint 1, angle at vertex B, angle at vertex C (students should name the angle and measure). Each student completes it for each vertex.
+
## Angle formed at midpoint 1, angle at vertex B, the angle at vertex C (students should name the angle and measure). Each student completes it for each vertex.  
 
{| class="wikitable"
 
{| class="wikitable"
 
|'''Vertex'''
 
|'''Vertex'''
Line 120: Line 120:  
## DE = 1/2BC  (DE = EF by construction)
 
## DE = 1/2BC  (DE = EF by construction)
 
=== Evaluation at the end of the activity ===
 
=== Evaluation at the end of the activity ===
# Would this theorem apply for right angled and obtuse-angled triangles?
   
[[Category:Quadrilaterals]]
 
[[Category:Quadrilaterals]]
 
[[Category:Class 9]]
 
[[Category:Class 9]]
3,664

edits