Question

Can somebody help me write a paragraph proof?

Answer 1

http://assets.openstudy.com/updates/attachments/50a3ca0de4b01edaad2a56d1-bloodrain-1352911390378-467863217201165635pm837146745.png
Given BC = EC and AC = DC
Prove BA = ED

Answer 2

I don't know if its correct or not but so far I have:
BC is congruent to EC because it is given. AC is congruent to DC because it is given. <BCA is congruent to <ECD because they are vertical angles. ^BCA is congruent to ^ECD because of ASA postulate.

Answer 3

@jim_thompson5910

Answer 4

@zepdrix

Answer 5

everything is correct BUT the two triangles are congruent because of the SAS postulate and NOT the ASA postulate

Answer 6

am i missing any steps that come after that like for BA = ED

Answer 7

then you need the reason why BA = ED (this reason is from the idea that triangle BCA is congruent to triangle ECD )

Answer 8

here's why it's SAS

the corresponding colors match to show you which sides/angles are congruent to each other

Answer 9

so the last reason is BA = ED because of CPTCP? and ok that helps thanks

Answer 10

more like CPCTC, but you have the right idea

Answer 11

mixed up the letters sorry
so that's the entire proof everything i wrote plus that??

Answer 12

yes

Answer 13

ok thank you

Answer 14

np