Question

Look at the figure shown below.



A student made the table below to show the steps to prove that DC is equal to EC.

Answer 1

A. Provide the missing statement and justification in the proof.

B. Using complete sentences, explain why the proof would not work without the missing step.

Answer 2

help me plz @jim_thompson5910

Answer 3

@jim_thompson5910

Answer 4

Hint: you need angles ACE and BCD to be congruent in order to use the ASA property to show that triangle DBC = triangle EAC

Answer 5

was that a hint or an answer lol

Answer 6

kinda both, but it's not the full answer

Answer 7

i guess there's not much to this problem to give a proper hint

Answer 8

hmmm ok im lost...

Answer 9

you need

angle ACE = angle BCD

so that's your statement

but why is this possible?

Answer 10

its partially given i guess

Answer 11

no it's not given at all

Answer 12

sure it's based on other statements which were given, but it was never given

Answer 13

well if you subtracted BCE from 180 then you would get angles ACE lol

Answer 14

angle ACE = ACD + DCE shown in line 4

Answer 15

angle BCD = ACD + DCE shown in line 6

Answer 16

ok i follow

Answer 17

so ACE = BCD because ....

Answer 18

substitution

Answer 19

yep

Answer 20

why wouldnt it work without the step though

Answer 21

because ASA depends on two angles and a (sandwiched) side

Answer 22

you only had one set of angles, but you need two sets

Answer 23

thx