I WILL GIVE A MEDAL!! In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2, and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 Prove that segment DE is parallel to segment AB.

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I WILL GIVE A MEDAL!! In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at x sub 1 over 2, y sub 1 over 2, and point E is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2 Prove that segment DE is parallel to segment AB.

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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I'm not sure about this one, I'm sorry :c

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to prove that DE is parallel to AB u need to prove that CDE=DAB Hint : show that ΔABC similar to ΔDEC I think
Do i also have to show the slopes?
I don't think so
Okay thanks!
np
@peachpi can you help me pls
I would have done the slopes, but I think @LiveLaughDie method is much easier
you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. If
You can prove similarity with AA, SSS, or SAS
Thank you so much!

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