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Geometry 16 Online
OpenStudy (gabylovesyou):

Triangle Congruence and Similarity Help!

OpenStudy (gabylovesyou):

OpenStudy (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)

OpenStudy (atlas):

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

OpenStudy (gabylovesyou):

I am not good with proofs

OpenStudy (gabylovesyou):

like... AT ALL

OpenStudy (gabylovesyou):

is it C ?

OpenStudy (gabylovesyou):

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

OpenStudy (atlas):

PR = x+15

OpenStudy (gabylovesyou):

Yes and PQ = 28 + 12

OpenStudy (gabylovesyou):

@atlas

OpenStudy (gabylovesyou):

@ganeshie8

OpenStudy (gabylovesyou):

@ParthKohli

ganeshie8 (ganeshie8):

ganeshie8 (ganeshie8):

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

ganeshie8 (ganeshie8):

you need to take the other side ratio in similar way

ganeshie8 (ganeshie8):

OpenStudy (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 ?

OpenStudy (gabylovesyou):

40

OpenStudy (gabylovesyou):

so its D

ganeshie8 (ganeshie8):

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

OpenStudy (gabylovesyou):

28:40 = x:(x + 15)

OpenStudy (gabylovesyou):

Thanks so much!

ganeshie8 (ganeshie8):

np :) thank atlas !

OpenStudy (gabylovesyou):

@atlas thanks lol

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