What does BPT mean in maths?

Basic Proportionality theorem
Basic Proportionality theorem was introduced by a famous Greek Mathematician, Thales, hence it is also called Thales Theorem. According to him, for any two equiangular triangles, the ratio of any two corresponding sides is always the same. Based on this concept, he gave theorem of basic proportionality (BPT).

What is BPT formula?

Basic Proportionality Theorem: If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion.

What is BPT converse?

Converse of Basic proportionality Theorem. Statement : If a line divide any two sides of a triangle (Δ) in the same ration, then the line must be parallel (||) to third side.

What is the use of BPT Theorem?

The basic proportionality theorem helps to find the lengths in which the two sides of a triangle are divided by a line drawn parallel to the third side. Further, it has applications to find the relationship between two equiangular triangles.

How do I verify BPT?

To verify the basic proportionality theorem by using parallel lines board, triangle cut outs. 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.

How do you prove BPT?

then we say that the basic proportionality theorem is proved. Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively.

What is right triangle proportionality theorem?

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Is BPT applicable for a scalene triangle?

Answer: It is applicable to all types of triangles.

Can we prove BPT by similarity?

Nope!! This theorem is proved by the concept of area of triangle .. if you prove by similarity then the ratio would not form .

How do you prove BPT theorem?

Who invented Thales theorem?

According to Diogenes Laertius, when Thales discovered this theorem, he sacrificed an ox! Thales bridged the worlds of myth and reason with his belief that to understand the world, one must know its nature (‘physis’, hence the modern ‘physics’).

What is proportional theorem?

Triangle Proportionality Theorem Statement If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

What is the converse of the triangle proportionality theorem?

Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

How many theorems Thales have?

five theorems
In particular, he has been credited with proving the following five theorems: (1) a circle is bisected by any diameter; (2) the base angles of an isosceles triangle are equal; (3) the opposite (“vertical”) angles formed by the intersection of two lines are equal; (4) two triangles are congruent (of equal shape and size …