Question

In ∆PQR ,if PS/SQ=PT/TR, then seg ST // seg QR. So the property used is



1. Basic Proportionality Theorem

2. Theorem of areas of similar triangles

3. Converse of Basic Proportionality Theorem

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Answer 1

Step-by-step explanation:

Basic Proportionality Theorem was first stated by Thales, a Greek mathematician. Hence it is also known as Thales Theorem. Thales first initiated and formulated the Theoretical Study of Geometry to make astronomy a more exact science. What is this theorem that Thales found important for his study of astronomy? Let us find it out.

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.

Basic Proportionality Theorem

In the figure alongside, if we consider DE is parallel to BC, then according to the theorem,

A

D

B

D

=

A

E

C

E

Let’s not stop at the statement, we need to find a proof that its true.