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Mathematics 20 Online
OpenStudy (freemap):

Helpp

OpenStudy (freemap):

ILovePuppiesLol (ilovepuppieslol):

ill try to help :P

ILovePuppiesLol (ilovepuppieslol):

idk >_<

OpenStudy (btaylor):

The series of transformations results in a congruent image if it is not scaled at all. Any transformation (x,y) -> (a*x, a*y) scales the image unless a is 1 or -1. So, looking at each of the series of transformations, look for ones without a scaling step.

OpenStudy (freemap):

so you're saying that every number that has a 1 or -1 its is wrong? @BTaylor

OpenStudy (freemap):

@Michele_Laino

OpenStudy (michele_laino):

what do you tink it is?

OpenStudy (michele_laino):

think*

OpenStudy (freemap):

I don't know

OpenStudy (michele_laino):

when an image is congruent to a pre-image?

OpenStudy (freemap):

is is = to the pre image

OpenStudy (michele_laino):

I think that we get such congruence with traslations, rotations, and reflections, and \(not\) with dilations now the subsequent transformation: \[\Large \left( {x,y} \right) \to \left( {0.5x,0.5y} \right)\] is a dilation, so it is not the requested transformation

OpenStudy (michele_laino):

so, the right options, are the options which don't contain dilations

OpenStudy (michele_laino):

furthermore, also this transformation: \[\Large \left( {x,y} \right) \to \left( {9x,9y} \right)\] is a dilation

OpenStudy (michele_laino):

so, what can you conclude?

OpenStudy (freemap):

C is a dilation

OpenStudy (michele_laino):

so, option C is wrong

OpenStudy (freemap):

A is the correct answer

OpenStudy (michele_laino):

yes!

OpenStudy (freemap):

Thank you

OpenStudy (michele_laino):

please wait, there is another correct option

OpenStudy (freemap):

B

OpenStudy (michele_laino):

B is wrong, since it contains a dilation \[\left( {x,y} \right) \to \left( {0.5x,0.5y} \right)\]

OpenStudy (freemap):

D

OpenStudy (michele_laino):

that's right!

OpenStudy (freemap):

Thank you

OpenStudy (michele_laino):

:)

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