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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The basic proportionality theorem is an important tool for proving similarity tests such as SAS. It is used in comparison of similar triangles and finding their measurements.
thyales theorem
Similar shapes.
If the equation is y = kx then the constant of proportionality is k.
It is called the constant of proportionality.