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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.

- anonymous

- katieb

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- anonymous

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- anonymous

Can you help, please? @aureyliant

- 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.

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## More answers

- anonymous

okay

- anonymous

can you help. please? @synkronize

- anonymous

- anonymous

can you help, please ? @RosieF

- anonymous

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

- anonymous

yes

- anonymous

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

- anonymous

no

- anonymous

not always, but sometimes 2 similar polygons are congruent

- 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?

- anonymous

3 and 3??

- anonymous

try again

- anonymous

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

- anonymous

2 and 2??

- anonymous

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

- anonymous

2 AND 2

- anonymous

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

- anonymous

2,2 ?

- anonymous

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

- anonymous

3,3

- 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?

- anonymous

both i think if not similar

- anonymous

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

- anonymous

does A make sense?

- anonymous

yes but im not sure about the factor

- anonymous

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

- anonymous

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

- anonymous

yes

- anonymous

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

- anonymous

ooh no

- anonymous

right so its definitely not B. What about C?

- anonymous

no

- anonymous

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

- anonymous

uhhh maybe ?\

- anonymous

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

- anonymous

oooh nope!

- anonymous

so it A?

- anonymous

yes :)

- anonymous

THANKyou soo much :)

- anonymous

no problem :) <3

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