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Mathematics 14 Online
OpenStudy (anonymous):

FAN AND MEDAL

OpenStudy (anonymous):

The figure shows three quadrilaterals on a coordinate grid:

OpenStudy (anonymous):

OpenStudy (anonymous):

Which of the following statements is true about the three quadrilaterals? M and O are similar and congruent. O and N are similar and congruent. M and N are similar but not congruent. M and O are similar but not congruent.

OpenStudy (anonymous):

@Goose. @undeadknight26 @cliffordtapp

OpenStudy (phi):

can you count the size of the width and height of M ?

OpenStudy (anonymous):

idk because i have no idea how to do this

OpenStudy (anonymous):

Ok I may be a little rusty on this, but I believe congruent means the two objects are essentially the same (have same lengths and angles) whereas similar means they have the same proportions though they can have different sizes.

OpenStudy (anonymous):

okay..

OpenStudy (phi):

**idk because i have no idea how to do this*** put your finger on one corner and count how many lines over to get to the other corner

OpenStudy (anonymous):

So does this help? Tell me what you think the answer is and we can compare :D

OpenStudy (anonymous):

yes thank you @PlasmaFuzer

OpenStudy (anonymous):

i think the answer is D but i don't know

OpenStudy (anonymous):

Oh ok then :D thank you

OpenStudy (anonymous):

Yes I agree.... M and N are both similar and congruent because all their sides are the same length and all their angles are the same (which means congruence but since they also are proportional (proportion between them is 1) they are also similar). Whereas M (and N due to the aforementioned congruence) and O are only similar because they have the same proportions. By counting as phi suggested the lengths of the sides, you should find that the side lengths of O are twice that of either M or N.

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