Prerequisite knowledge:
Two lines are parallel if for a transversal cutting them, the corresponding angles are equal.
Procedure:
As performed in the real lab:
Materials Required:
Colored papers, sketch pens, geometry box, a pair of scissors, fevicol and eraser.
Procedure:
Form a sheet of paper.
Cut a ▲ABC.
Find Midpoints P and Q of AB and AC respectively by paper folding.
Join P and Q by folding and making a crease PQ.
Cut ▲APQ.
Superimpose AQ over QC so that QP falls along CB.
As performed in the simulator:
Procedure:
Create ▲ABC by providing length of each side AB,BC and AC in dimension box.
Mark midpoint of each line AB,BC,AC as P,Q,R respectively.
Now join PQ and QR.
Click on cut triangle button to get replicate triangle of APQ.
Drag this replica and place it at ▲ QRC.
Observation:
Line PQ  Line BC
PQ=RC
Result:
“The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side. ”
1 videos228 docs21 tests

1. What is the midpoint theorem for a triangle? 
2. How can we verify the midpoint theorem for a triangle? 
3. What is the significance of the midpoint theorem in triangle geometry? 
4. Can the midpoint theorem be applied to any type of triangle? 
5. Are there any reallife applications of the midpoint theorem for a triangle? 
1 videos228 docs21 tests


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