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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..:)
Wiki User
∙ 11y ago
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Uses of basic proportionality theorem?
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.
What is basic proponality theorem?
thyales theorem
What is defined by a line that divides two sides of a triangle proportionally then it is parallel to the third?
Similar shapes.
How do you find constant of proportionality using equation?
If the equation is y = kx then the constant of proportionality is k.
What does the constant of proportionality mean?
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.
Who had given Basic Proportionality Theorem?
"thales" has given this bpt theorem.
Who gave ' converse of basic proportionality theorem'?
Thales
Uses of basic proportionality theorem?
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.
What is full form of BPT?
basic proportionality theorem,also known as thales theorem
What are applications of basic proportionality theorem?
it can be used to draw tangents from a given point on a circle.
Is not part of the tringle proportionality theorem?
The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.
What is the history of basic proportionality theorem?
its abbr. Is BPT. It is applied in equilateral triangle. For more info log on to www.wikipedia.com/thalesofmiletus
What is a theorem 6.3-7 in proportionality theorem?
6.3 is 7% of what number and how do I get to the answer
What is an example of basic proportionality by theorem?
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.
Which of the following is defined by a line parallel to one side of a triangle divides the other two sides proportionally?
Converse of the triangle proportionality theorem APEX :)
Application of basic proportionality theorem in daily life?
Everyone pays the same fare on a train journey. The total amount is proportional to the number of people on the train.
What is real life application of Basic proportionality theorem?
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.
