8.5: Three Theorems Involving Proportions

Hi everyone! Today in class, we learned three new theorems.

First is the side-splitter thereom:

            side-splitter: a line in a triangle that is parallel to one side and intersects the two other sides

                                 

            Proportion: 

Next is the theorem with parallel lines:

If three or more parallel lines are intersected by two transversals, the parallel lines divide the transversals proportionally.

Proportion:

 The last thereom is the angle bisector thereom:

If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides.

Other:

corollary-  a thereom that is a direct result of a previous one

That's all! Hope you liked the blog!

~Natalie