Question

hey can someone help me with this proof? i have a test tomorrow

Answer 1

@jim_thompson5910

Answer 2

Were you able to get anywhere?

Answer 3

And here is the rotated version (just for a better reference)

Answer 4

i just have the given and reflexive property im not sure where to go from there

Answer 5

Ok, ur next step should be trying to prove <AFD=<BFD

Answer 6

is that the complement theorem?

Answer 7

Correct

Answer 8

And now I'm sure u have all the info to prove two congruent triangles and then prove what u need

Answer 9

dont i need to proove af and bd congruent?

Answer 10

Yes, u will prove that using CPCTC after u prove 2 triangles congruent

Answer 11

can you help me with the next step? im just not sure what goes next

Answer 12

So after the compliment theorem, u have 2 pairs of congruent angles and a pair of congruent sides, would u use SSS,SAS,ASA,.... To prove those 2 triangles congruent.

AFD=BFD

Answer 13

but not all 3 sides are congruent

Answer 14

dont you have to prove ad congruent to bd so it would be sas?

Answer 15

No, try looking differently. Wait, did u prove FD=FD for reflexive?

Answer 16

yes

Answer 17

Ok, so this is what u should have


<AFD=<BFD
fD=FD
<ADF=<BDF

Answer 18

i dont have the last one

Answer 19

whats the reason for that?

Answer 20

@nikato

Answer 21

Oh it's from ur given

Answer 22

segment DF bisects angle EDC (given)

so that means that angle EDC is cut exactly in half. Each smaller angle that makes up angle EDC is congruent to one another.

Answer 23

Definition of angle bisector^

Answer 24

ok thanks