What is the activity for basic proportionality theorem?

Aim To verify the Basic Proportionality theorem by paper cutting and pasting using a parallel line board.

Material required Coloured paper, parallel line board, pair of scissors, sketch pen, ruler, glue

Procedure

Step 1 Draw a triangle on a coloured paper.

Step 2 Label the triangle as ABC.

Step 3 Cut the triangle.

Step 4 Take the parallel line board and place the triangle ABC on it such that the side BC coincides with any of lines on the board.

Step 5 Draw a line parallel to BC using a ruler by the help of lines on the parallel line board.

Step 6. Let the parallel line drawn to BC intersect AB and AC at D and E respectively.

Step 7. Find AD/DB and AE/EC.

Step 8. What do you observe?

Step 9. Repeat the activity for two more triangles.

Step 10. Write the result.

If a line is drawn parallel to any side of a triangle,to intersect the other two sides at two distinct points,then the other two sides are divided in the same ratio.

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