Question

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted


Help ASAP pleasee

Answer 1

@ganeshie8

Answer 2

Is it the Basic Propotionality Theorem?

Answer 3

I think, I'm not really good at this.

Answer 4

The line joining the mid-points of any 2 sides of a triangle is parallel to the third side and half of it. This is called Basic Proportiaonality Theorem.

The converse of this theorem would be as follows:

"If in a triangle, a line is drawn parallel to one side of a triangle to intersect the other 2 sides, then the 2 sides will be proportional".

So the statement you have mentioed is the converse of Basic Proportionality theorem.

Answer 5

use AAA simillarity

Answer 6

Ohh okay thanks :)