anonymous
  • anonymous
What coordinate for F would make triangle ABC and triangle DEF congruent?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
A) (-2,4) B) (-2,3) C) (-3,3) D) (-3,4)
anonymous
  • anonymous
i believe that the answer is B , but that is just because i looked at the graph. its like an overlapping reflection, correct? i need help, i need someone to walk me through this . is there like, a formula? the lesson shows me this formula but its not clear on how to use it. \[\sqrt{(y1-y2)^2+ (x1-x2)^2}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
anone wanna assist me please? i wanna learn how to do this myself :(
anonymous
  • anonymous
@ParthKohli @pooja195 @Data_LG2
anonymous
  • anonymous
@hartnn @nincompoop @Abhisar
anonymous
  • anonymous
@misty1212
baru
  • baru
that formula you have typed out, do you know what it's for?
anonymous
  • anonymous
@baru i THINK its to find the distance between two points, the lesson doesnt get detailed in it though :( they just start using it through examples
baru
  • baru
you are right, its for the distance between two points. for two triangles to be congruent, the sides of the triangles should have equal lengths
baru
  • baru
if you say triangle ABC congruent to DEF it means AB=DE BC=EF AC=DF
baru
  • baru
with me so far?
anonymous
  • anonymous
yes :)
anonymous
  • anonymous
so how would i calculate f using the formula? would i use the distance between BC or Ac to find F or?...
baru
  • baru
yeah..that would be the right way, but rather than solve for the co-ordinates of F, you are given several options for F, just substitute them and find EF and DF, see which one is equal to BC,AC
anonymous
  • anonymous
so i use my options for F? and place them in the formula? im sorry if i dont quite understand, im a slow thinker in the morning :(
baru
  • baru
yeah, exactly
baru
  • baru
find the lengths EF and DF for each of the options, compare with the lengths AC and BC
anonymous
  • anonymous
but how will i know it is right?
anonymous
  • anonymous
@baru
anonymous
  • anonymous
oh wait i THINK i understand, if they have the same result as the sides of the congruent triangle thats already there (abs) ?
anonymous
  • anonymous
*c
baru
  • baru
you have to do it for each option. only one option will give you EF=AC and DF=BC (you have to find lengths AC and BC as well)
anonymous
  • anonymous
so i go all around? ok so first i find EF=AC right?
baru
  • baru
first calculate AC and BC and write it down. then find EF for each option, see which one matches the value for AC that you just wrote down
anonymous
  • anonymous
ok let me find AC and BC first
anonymous
  • anonymous
@baru can you help me place the points into the formula? A = (1,-1) C= (2,3) B= (-1,2) C= (2,3)
baru
  • baru
\[AC = \sqrt{(1-2)^2 + (-1-3)^2}\]
baru
  • baru
\[BC = \sqrt{(-1-2)^2 + (2-3)^2}\]
anonymous
  • anonymous
@baru but how did you place them? like which value was x1 x2 and y1 y2 ?
baru
  • baru
oh...ok. wait. neglect what i typed just above, i have reversed the formula you gave(but it doesn't really matter). ill type it in detail, wait
baru
  • baru
umm... how did you get A=(1,-1) ??
anonymous
  • anonymous
i looked at the graph to see where the point is, did i saw it wrong? omg let me see haha
anonymous
  • anonymous
is it (1,0)?
baru
  • baru
yep :)
baru
  • baru
so if you want to find the length AC then think of A =(x1,y1) and C=(x2,y2)
baru
  • baru
so, x1=1 and y1=0 x2=2 and y2=3
anonymous
  • anonymous
ohhhhhh kk hha now ill find AC
anonymous
  • anonymous
i got 10 for AC
anonymous
  • anonymous
AM I RIGHT? @baru
anonymous
  • anonymous
lol i wanna make sure
anonymous
  • anonymous
i have a feeling i am doing it wrong
anonymous
  • anonymous
or is everything supoosed to stay in the sqr root ?
anonymous
  • anonymous
so its supposed to be the sqr root of 10?
anonymous
  • anonymous
so2 is my answer?
baru
  • baru
yep, AC is square root of 10.
anonymous
  • anonymous
so then i find BC?
baru
  • baru
not necessary, option 2 is the only one which gives you EF= square root of 10
baru
  • baru
did you try finding EF for all the options?
anonymous
  • anonymous
what do you mean?
baru
  • baru
i'm sorry i meant DF
baru
  • baru
we established that for the two triangles to be congruent, length AC = length DF
baru
  • baru
you have found that the length AC is square root of ten. the question gives you several options for the co-ordinates of F. so find the length DF for each of the options, and see which one gives you square root of 10
anonymous
  • anonymous
ohhhhhhhhhhhhhhhhhhhhhh ok ok ok so i can test B and see if it gives me squeare rot of 10? and if it does it means that my answer is correct? but if it isnt i keep testing the other options until it matches square root of 10?
baru
  • baru
what do you mean "so i can test B' ?
anonymous
  • anonymous
option b for F
baru
  • baru
oh..lol. Yep, you are absolutely right then
anonymous
  • anonymous
yay! lol
anonymous
  • anonymous
kk ima test it
baru
  • baru
alright
anonymous
  • anonymous
@baru i got the square root of ten aswell!~ does this mean B is my answer? :)
baru
  • baru
yup

Looking for something else?

Not the answer you are looking for? Search for more explanations.