anonymous
  • anonymous
Please Please help me with this easy problem! I will fan and medal!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
What problem?
anonymous
  • anonymous
Given:AB=CD, AD=CB Prove: Triangle ABD=Triangle BCD
anonymous
  • anonymous
I need help writing a proof for this!

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anonymous
  • anonymous
@Moofish
anonymous
  • anonymous
@sleepyjess Can you help?
sleepyjess
  • sleepyjess
Do you have a picture?
anonymous
  • anonymous
@sleepyjess Yea hold on
anonymous
  • anonymous
anonymous
  • anonymous
@sleepyjess
sleepyjess
  • sleepyjess
brb
anonymous
  • anonymous
@sleepyjess Okay.. :)
sleepyjess
  • sleepyjess
Okay, I'm back
sleepyjess
  • sleepyjess
Do you have to use all 4 statement/reason slots?
sleepyjess
  • sleepyjess
This can really be completely done by using 2 of the slots...
anonymous
  • anonymous
@sleepyjess I believe you are suppose to use all four but the first one would be the given statement
sleepyjess
  • sleepyjess
True true, actually the first 2 would be, since only one statement goes in each slot
anonymous
  • anonymous
Okay and so what would then be the other two slots?
sleepyjess
  • sleepyjess
Okay, so we have AB \(\cong\) CD | Given AD \(\cong\) CB | Given Now, what is the other side of both triangles? Hint: They are the same line!
anonymous
  • anonymous
Ummm would it be BD?
anonymous
  • anonymous
@sleepyjess
sleepyjess
  • sleepyjess
Yes! So the third slot would be BD \(\cong\) BD | Reflexive Property of Congruence
sleepyjess
  • sleepyjess
Now, we can prove the triangles congruent by SSS, Side-Side-Side
anonymous
  • anonymous
Wait so wouldnt BD reasoning be SSS? Not Reflexive Property Of Congruence?
sleepyjess
  • sleepyjess
Well, the triangles being congruent would be SSS
sleepyjess
  • sleepyjess
BD \(\cong\) BD is like saying that a + b = a + b
anonymous
  • anonymous
Ohhh Okay that makes perfect sense :) Thanks for explaining that. Sorry Im so horrible at geometry! So what would the next blank be?
sleepyjess
  • sleepyjess
No problem! The last slot would be ABD \(\cong\) BCD | SSS
anonymous
  • anonymous
Of course! I knew that :) Thank you again so much!
anonymous
  • anonymous
You really helped break this down for me! Could you help me with one more problem?
anonymous
  • anonymous
@sleepyjess
sleepyjess
  • sleepyjess
Sorry, was afk for a minute :P No problem! And sure :)
anonymous
  • anonymous
@sleepyjess No problem! Thought my computer might be freezing lol :)
anonymous
  • anonymous
sleepyjess
  • sleepyjess
haha nope :P
anonymous
  • anonymous
I just need to complete the last blank
sleepyjess
  • sleepyjess
Have you ever heard of \(\color{blue}{Corresponding\: Parts\: of \: Corresponding \: Triangles\: are\: Congruent?}\)
anonymous
  • anonymous
No I dont think so :/
sleepyjess
  • sleepyjess
Hmm... I'll try to explain
anonymous
  • anonymous
I mean It makes sense that if two triangles are congruent all its parts would also be congruent
sleepyjess
  • sleepyjess
On this picture, we know that they've already proven ABC \(\cong\) DEF, so we know all of the sides must be congruent right?
sleepyjess
  • sleepyjess
As well as all of the angles
anonymous
  • anonymous
@sleepyjess Yes that makes perfect sense
sleepyjess
  • sleepyjess
Okay, since AB and DE would line up if we put the triangles on top of each other, those would be the corresponding sides, same with BC and EF, and AC and DF
anonymous
  • anonymous
Right so AB=DE and BC=EF and AC=DF because they are all corresponding angles
sleepyjess
  • sleepyjess
Exactly!
sleepyjess
  • sleepyjess
I'm not sure why you think you're bad at geometry, you catch on to new concepts so fast!
anonymous
  • anonymous
So for the last blank I would put AB=DE because its a corresponding angle?
sleepyjess
  • sleepyjess
Close, you would put CPCTC, \(\bf C\)orresponding \(\bf P\)arts of \(\bf C\)orresponding \(\bf T\)riangles are \(\bf C\)ongruent
anonymous
  • anonymous
Okay :) I cant thank you enough for all the help youve given me!
sleepyjess
  • sleepyjess
You're such an awesome learner! Keep up the good work :)
anonymous
  • anonymous
@sleepyjess Aww thank you so much! You have no idea how much that really means to me!

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