Two lines are parallel if for a transversal cutting them, the corresponding angles are equal.
As performed in the real lab:
Colored papers, sketch pens, geometry box, a pair of scissors, fevicol and eraser.
- Form a sheet of paper.
- Cut a ▲ABC.
- Find Mid-points 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:
- Create ▲ABC by providing length of each side AB,BC and AC in dimension box.
- Mark mid-point 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.
- Line PQ || Line BC
“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. ”