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Mathematics 18 Online
OpenStudy (gabylovesyou):

The image below shows two dilated figures with lines IJ and KL drawn. If the smaller figure is dilated using a scale factor of 2, what relationship do lines IJ and KL have? Would this relationship hold true for all dilations?

OpenStudy (gabylovesyou):

OpenStudy (gabylovesyou):

@Mertsj

OpenStudy (gabylovesyou):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

any ideas?

OpenStudy (gabylovesyou):

I think that the lines would be the same

jimthompson5910 (jim_thompson5910):

what do you mean by "the same" ?

OpenStudy (gabylovesyou):

Line KL would and IJ would be in the same place (i dont know how to explain)

jimthompson5910 (jim_thompson5910):

they aren't in the same place, but I see where you're going with it

jimthompson5910 (jim_thompson5910):

what's the term that describes these two lines the two lines are _______

OpenStudy (gabylovesyou):

now or once its dilated? parallel? corresponding?

jimthompson5910 (jim_thompson5910):

line IJ is ____ to line KL

OpenStudy (gabylovesyou):

idk

jimthompson5910 (jim_thompson5910):

think of railroad tracks

OpenStudy (gabylovesyou):

parallel

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so IJ is parallel to KL

OpenStudy (gabylovesyou):

but if it was dilated it will still be parallel ?

OpenStudy (gabylovesyou):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes because similar figures have parallel corresponding sides

OpenStudy (gabylovesyou):

wait but if the smaller figure is dilated wouldnt it be the size of the big figure? @jim_thompson5910

OpenStudy (gabylovesyou):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes, if you used the correct scale factor

OpenStudy (gabylovesyou):

so they wouldnt be parallel.. they would be corresponding lines

OpenStudy (gabylovesyou):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

but corresponding sides of similar figures are parallel

OpenStudy (gabylovesyou):

can you draw it so i understand?

OpenStudy (gabylovesyou):

|dw:1392948329744:dw|

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