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.
hope this answer helped u..:)
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's the number you have to multiply measurement in one unit by in order to get measurement in another unit. If you are trying to convert a measurement in kilometres to meters the constant of proportionality is 1000. If you are trying to convert miles to kilometres the constant of proportionality is 1.6. Converting pints to gallons? The constant of proportionality is 8.
"thales" has given this bpt theorem.
Thales
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.
basic proportionality theorem,also known as thales theorem
it can be used to draw tangents from a given point on a circle.
The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.
its abbr. Is BPT. It is applied in equilateral triangle. For more info log on to www.wikipedia.com/thalesofmiletus
6.3 is 7% of what number and how do I get to the answer
An example of basic proportionality would be Pythagoras' theorem, in which he states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides and is given by the formula of: a2+b2 = c2 whereas a and b are the sides of the right angle triangle with c being its hypotenuse or longest side.
Converse of the triangle proportionality theorem APEX :)
Everyone pays the same fare on a train journey. The total amount is proportional to the number of people on the train.
I guess, the BPT is used in Tiles & Painting and so on... It can be useful as paintings, tiles & many other things as such require precision & BPT helps to make sure that its in proportional. The theorem states that when a line is drawn parallel to one side of the triangle (inside it) it divides the other two sides of the same triangle in equal proportions. Similar is the Converse and it proves true. BPT stands for Basic Proportionality Theorem & was discovered by Thales. I hope this satisfies your question.