Class 10 Exam > Class 10 Notes > Viva Voce: Basic Proportionality Theorem for a Triangle
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Q.1. Name the mathematician who gave B.P.T.
Greek mathematician Thales
Q.2. Can we prove Mid-point theorem by using B.P.T.?
Yes
Q.3. What is the converse of B.P.T.?
If a line divides any two sides of a triangle in the same ratio, the line is parallel to the third side of the triangle.
Q.4. What are the conditions for two polygons of same number of sides to be similar?
(i) Their corresponding angles are equal.
(ii) Their corresponding sides are proportional.
Q.5. Is there any other name for B.P.T. (Basic Proportionality Theorem)?
Yes, Thales Theorem
Q.6. What is the statement of B.P.T.?
If a line is drawn parallel to one side of a triangle to intersect the other two sides at distinct points, the other two sides are divided in the same ratio.
Q.7. Is the B.P.T. applicable for a scalene triangle?
Yes
Q.8. Give two different examples of pairs of similar figures.
Pair of squares, pair of circles
Q.9. What is another name of Basic proportionality theorem?
Another name for BPT is Thales theorem. As per this theorem, If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.
Q.10. What are the condition of two triangles to be similar?
If two triangles are similar to each other then,
(i) Corresponding angles of both the triangles are equal.
(ii) Corresponding sides of both the triangles are in proportion to each other.
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Mar 19, 2025
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