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Geometry 14 Online
OpenStudy (anonymous):

HELP??!!! WILL MEDAL AND FAN!!!!!! :) Which sentence correctly explains whether polygons ABCDE and PQRST are similar? A.They are similar because ABCDE can be mapped onto PQRST by a similarity transformation. The scale factor is 1. B.They are not similar because ABCDE is congruent to PQRST. C.They are not similar because their corresponding angle measurements are congruent. D.They are similar because they have the same set of corresponding side lengths.

OpenStudy (anonymous):

OpenStudy (anonymous):

Can you help, please? @aureyliant

OpenStudy (anonymous):

I apologize, but it's still early in the morning for me and I don't want to mislead you in any form or way because of my silly mistakes.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

can you help. please? @synkronize

OpenStudy (anonymous):

@ambe_kay

OpenStudy (anonymous):

can you help, please ? @RosieF

OpenStudy (anonymous):

okay, so do you know what it means for two polygons to be similar?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

okay, so if two polygons are congruent, are they similar?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

not always, but sometimes 2 similar polygons are congruent

OpenStudy (anonymous):

because DE and ST are line segments matched up, I want you to count the distance the coordinate plane from D to E and then from S to T. What do you get?

OpenStudy (anonymous):

3 and 3??

OpenStudy (anonymous):

try again

OpenStudy (anonymous):

(don't count the first point on D or S)

OpenStudy (anonymous):

2 and 2??

OpenStudy (anonymous):

yes :) now count the distance from A to E and then P to T

OpenStudy (anonymous):

2 AND 2

OpenStudy (anonymous):

right :) now find the slope of the line segments BC and QR

OpenStudy (anonymous):

2,2 ?

OpenStudy (anonymous):

yes :) now find the slope of the line segments AB and PQ

OpenStudy (anonymous):

3,3

OpenStudy (anonymous):

actually its -3, but that's okay. so basically every part of polygon ABCDE has a corresponding, congruent part with polygon PQRST. So does this show that the polygons are similar, congruent, or both?

OpenStudy (anonymous):

both i think if not similar

OpenStudy (anonymous):

right, both :) so now lets look at your answer choices and see what makes sense with that deduction.

OpenStudy (anonymous):

does A make sense?

OpenStudy (anonymous):

yes but im not sure about the factor

OpenStudy (anonymous):

the scale factor means that if you multiply every part of PQRST by 1, the result will be the same as ABCDE

OpenStudy (anonymous):

so A is a possibility, so now lets look at B. Does it make sense?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so it makes sense for the polygons to not be similar because they are congruent?

OpenStudy (anonymous):

ooh no

OpenStudy (anonymous):

right so its definitely not B. What about C?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

right, now look at D. What do you think?

OpenStudy (anonymous):

uhhh maybe ?\

OpenStudy (anonymous):

think about it, do ABCDE and PQRST have the same set of corresponding side lengths?

OpenStudy (anonymous):

oooh nope!

OpenStudy (anonymous):

so it A?

OpenStudy (anonymous):

yes :)

OpenStudy (anonymous):

THANKyou soo much :)

OpenStudy (anonymous):

no problem :) <3

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