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Mathematics 20 Online
OpenStudy (anonymous):

sdada

OpenStudy (anonymous):

aren't they similar because the angles are corresponding and theyre congruent ?

OpenStudy (galleara):

yes

jimthompson5910 (jim_thompson5910):

yes the corresponding angles are congruent, but that doesn't guarantee they are similar

jimthompson5910 (jim_thompson5910):

that would only work with triangles

OpenStudy (galleara):

that's true, it would be guaranteed if they had the dash marks on the sides of the shape saying that the sides are the same lengths

jimthompson5910 (jim_thompson5910):

imagine you had 2 rectangles like this |dw:1372742074294:dw| they both have the same corresponding angles (all equal to 90 degrees), but the two rectangles are NOT similar

OpenStudy (anonymous):

oh , so then it would be no? because similar polygons have corresponding angles are congruent and corresponding sides are proportional?

jimthompson5910 (jim_thompson5910):

you would need to show that the angles are congruent and that the corresponding sides are proportional for them to be similar

jimthompson5910 (jim_thompson5910):

there's just not enough information given

OpenStudy (anonymous):

so how could I explain that by solving it ?

jimthompson5910 (jim_thompson5910):

and Galleara, you are correct and you could also use this info (of the corresponding sides being congruent) to say that the two quadrilaterals are congruent but the corresponding sides don't need to be congruent for the figures to be similar

jimthompson5910 (jim_thompson5910):

well just say there's not enough information to determine either way

jimthompson5910 (jim_thompson5910):

they could be similar, but could easily be not similar

OpenStudy (anonymous):

ohh okay can I also say that the corresponding angels are congruent but you cant prove it ?

jimthompson5910 (jim_thompson5910):

sadly no, you cannot prove it either way due to this missing info so it's inconclusive

jimthompson5910 (jim_thompson5910):

I'm assuming you're given answer choices?

OpenStudy (anonymous):

no I have to write it out

jimthompson5910 (jim_thompson5910):

I see, well you can say something along those lines then

OpenStudy (anonymous):

okay thanks (:

jimthompson5910 (jim_thompson5910):

sure thing

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