Question

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.

Answer 1

@cupcakes214 @juliastevens @LiveLaughDie

Answer 2

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

Answer 3

to prove that
DE is parallel to AB
u need to prove that CDE=DAB
Hint : show that
ΔABC similar to ΔDEC
I think

Answer 4

Do i also have to show the slopes?

Answer 5

I don't think so

Answer 6

Okay thanks!

Answer 7

np

Answer 8

@peachpi can you help me pls

Answer 9

I would have done the slopes, but I think @LiveLaughDie method is much easier

Answer 10

you basically have to prove similarity, then use that to prove the two angles CDE & DAB are equal. If <CDE & <DAB are equal then the lines are parallel b/c those are corresponding angles

Answer 11

You can prove similarity with AA, SSS, or SAS

Answer 12

Thank you so much!