What is the statement of BPT?

HomeWhat is the statement of BPT?
What is the statement of BPT?

Statement: 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.

Q. How can you use proportionality theorems?

Use the figure at the right to write a proportion. If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

Q. How do you apply triangle proportionality theorem in real life?

E.g., on a sunny day you can measure the length of your shadow and a tree’s shadow. You can also measure your height; but you can’t directly measure the tree’s height (easily). Using similar triangles whose sides are proportional you can calculate the height of the tree.

Q. Is the BPT applicable for a scalene triangle?

applicable for a scalene triangle ? What is the converse of B.P.T. ? Answer: 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. What are the proportionality theorems?

The basic proportionality theorem, also known as the Thales theorem states that “the line drawn parallel to one side of a triangle and cutting the other two sides divides the other two sides in equal proportion”.

Q. What is the meaning of proportionality theorem?

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

Q. What line do you need to use the basic proportionality theorem?

Q. How do you prove BPT?

Let us now state the Basic Proportionality Theorem which is as follows:

  1. 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.
  2. Hence, the basic proportionality theorem is proved.
  3. Hence, proved.

Q. What is converse of basic proportionality theorem?

According to the converse of basic proportionality theorem, “If a line segment is drawn to cut two sides of a triangle in equal proportion, then it is parallel to the third side”.

Q. What is the another name of BPT?

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. What is full form of BPT Theorem?

Basic Proportionality Theorem

1.Statement of Basic Proportionality Theorem
2.Proof of Basic Proportionality Theorem
3.Converse of Basic Proportionality Theorem
4.FAQs

Q. How do you prove proportionality?

If a line is drawn parallel to any one side of a triangle in such a way 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.

Q. What is the other name of basic proportionality theorem?

Q. What is another name of basic proportionality theorem?

Thales theorem
The basic proportionality theorem, also known as the Thales theorem states that “the line drawn parallel to one side of a triangle and cutting the other two sides divides the other two sides in equal proportion”.

Q. How do you determine proportionality?

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Q. What is basic proportionality theorem class 10th?

Let us now state the Basic Proportionality Theorem which is as follows: 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. What is BPT theorem class 10th?

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.

Q. Can we prove BPT by similarity?

✍️ Basic Proportionality Theorem (can be abbreviated as BPT) states that, 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. triangles having the same base and lying between the same parallels are equal in area.

Q. How do you prove the basic proportionality theorem?

Q. What is the triangle proportionality theorem?

The triangle proportionality theorem is a geometric law stating that when you draw a line parallel to one side of a triangle, it’ll intersect the other two sides of the triangle and divide them proportionally.

Randomly suggested related videos:
Thales Theorem Short Trick | BPT/Basic Proportionality Theorem | Proof/Concept/Trick/Hindi/Class 10

Hey!Thales Theorem is a nightmare for some students but in this video, we are going to learn it in a completely different way or should I say in a Dear Sir's…

No Comments

Leave a Reply

Your email address will not be published. Required fields are marked *