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Mathematics 16 Online
OpenStudy (highschoolmom2010):

determine similarity in the 2 pictures

OpenStudy (highschoolmom2010):

OpenStudy (anonymous):

well first, notice that these are both retectangles because they both have 4 90 degree angels

OpenStudy (highschoolmom2010):

ok so angels are congruent how do i figure out the sides if it gives me 4 different values

OpenStudy (anonymous):

well if they are 'similar' rectangles, each corresponding side is suppose to be proportional to the other

OpenStudy (anonymous):

so side AT is proportional to side RE and side HT is proportional to side RU

OpenStudy (anonymous):

or, they are "suppose" to be, if they are indeed similar

OpenStudy (anonymous):

12:9 and 10:8 are not the same ratio, so they are not similar rectangles

OpenStudy (highschoolmom2010):

oh ok i see

OpenStudy (anonymous):

does that make sense? sorry i didn't explain thoroughly. being able to see the jumps i made will help you solve these by yourself come test time :P

OpenStudy (highschoolmom2010):

eh i kinda understand a little could you explain it a little more for me

OpenStudy (anonymous):

okay so you have 2 rectangles. for rectangles, opposite sides are the same length right? so on the first rectangle, it has 2 sides that are 12 in length, and 2 sides that are 10 in length if the two rectangles are SIMILAR, then the sides of both rectangles much be PROPORTIONAL. on rectangle #2, we see it has sides that are 9 and 8 in length. well, the side that is 12 in length must be proportional to the side that is 9 in length, and the side that is 10 in length must be proportional to the side that is 10 in length

OpenStudy (nincompoop):

3:4 and 4:5 proportion

OpenStudy (nincompoop):

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