Triangle trouble. Please Help.

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Triangle trouble. Please Help.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.
I'm not looking for direct answers, I'd just appreciate a nudge or two.
Oh?

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A double negation, yeah? Isn't that basically indirectly proving?
Wouldn't that rely on the lines being parallel?
Oh, I see what you mean
Hmmm...
where is the question?
Sorry, Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.
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It's not a question, it's a command. That's all that's given. I think I'm proving the converse of the triangle proportionality theorem.
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Ooh I could probably say the triangles are similar, thus having congruent angles, then say by extension or by that they're exterior or interior angles or whatever that they're parallel.
we can start with one type of triangle like right-triangle and then use tangent ratio and prove
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Do you see what I'm saying? Is that process flawed?
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ya you can use that or start with that similar triangles provide congruence
It seems the least convoluted way I've thought.
Could I use the converse(inverse maybe? I forget) of the corresponding angles theorem after saying they're similar to prove parallelism?

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