Gabylovesyou
  • Gabylovesyou
Triangle Congruence and Similarity Help!
Geometry
chestercat
  • chestercat
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Gabylovesyou
  • Gabylovesyou
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Gabylovesyou
  • Gabylovesyou
Which equation can she use as statement 5? x:15 = 28:40 28:12 = x:(x + 15 ) x + 15 = 28 + 12 28:40 = x:(x + 15)
atlas
  • atlas
what do you think? Corresponding sides of similar triangles are proportional which means PS:PQ = PT:PR

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Gabylovesyou
  • Gabylovesyou
I am not good with proofs
Gabylovesyou
  • Gabylovesyou
like... AT ALL
Gabylovesyou
  • Gabylovesyou
is it C ?
Gabylovesyou
  • Gabylovesyou
@atlas OH WAIT ITS A right? because PS:PQ = PT:PR
atlas
  • atlas
PR = x+15
Gabylovesyou
  • Gabylovesyou
Yes and PQ = 28 + 12
Gabylovesyou
  • Gabylovesyou
@atlas
Gabylovesyou
  • Gabylovesyou
@ganeshie8
Gabylovesyou
  • Gabylovesyou
@ParthKohli
ganeshie8
  • ganeshie8
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ganeshie8
  • ganeshie8
that ratio is : \(28 : (28+12)\)
ganeshie8
  • ganeshie8
you need to take the other side ratio in similar way
ganeshie8
  • ganeshie8
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Gabylovesyou
  • Gabylovesyou
x: (x + 15) ?
ganeshie8
  • ganeshie8
Yes !!!!
ganeshie8
  • ganeshie8
both ratios are equal cuz triangles are similar
ganeshie8
  • ganeshie8
\(28 : (28+12) = x : (x+15)\)
ganeshie8
  • ganeshie8
yo whats 28+12 ?
Gabylovesyou
  • Gabylovesyou
40
Gabylovesyou
  • Gabylovesyou
so its D
ganeshie8
  • ganeshie8
D is \(\large \color{red}{\checkmark}\)
Gabylovesyou
  • Gabylovesyou
28:40 = x:(x + 15)
Gabylovesyou
  • Gabylovesyou
Thanks so much!
ganeshie8
  • ganeshie8
np :) thank atlas !
Gabylovesyou
  • Gabylovesyou
@atlas thanks lol

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