Gabylovesyou
Triangle Congruence and Similarity Help!



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Gabylovesyou
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Gabylovesyou
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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
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what do you think?
Corresponding sides of similar triangles are proportional which means PS:PQ = PT:PR

Gabylovesyou
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I am not good with proofs

Gabylovesyou
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like... AT ALL

Gabylovesyou
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is it C ?

Gabylovesyou
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@atlas OH WAIT ITS A right? because PS:PQ = PT:PR

atlas
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PR = x+15

Gabylovesyou
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Yes and PQ = 28 + 12

Gabylovesyou
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@atlas

Gabylovesyou
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@ganeshie8

Gabylovesyou
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@ParthKohli

ganeshie8
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ganeshie8
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that ratio is : \(28 : (28+12)\)

ganeshie8
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you need to take the other side ratio in similar way

ganeshie8
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Gabylovesyou
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x: (x + 15) ?

ganeshie8
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Yes !!!!

ganeshie8
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both ratios are equal cuz triangles are similar

ganeshie8
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\(28 : (28+12) = x : (x+15)\)

ganeshie8
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yo whats 28+12 ?

Gabylovesyou
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40

Gabylovesyou
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so its D

ganeshie8
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D is \(\large \color{red}{\checkmark}\)

Gabylovesyou
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28:40 = x:(x + 15)

Gabylovesyou
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Thanks so much!

ganeshie8
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np :) thank atlas !

Gabylovesyou
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@atlas thanks lol