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Scale factor by Raquel and Ally this is our essential question or target how can you use scale factor to find the missing side links of similar shapes what does it mean when someone says the shapes are similar the two shapes may be bigger than each other but the sides correspond with a scale factor here's an example you see that 1 goes to 2 2 goes to 4 and 4 goes to 8 then you know that the scale factor is x by 2 because 1 x by 2 is 2 2 x by 2 is 4 and 4 x by 2 is 8 solving for a scale factor step 2 what is scale factor lets say someone says the red box is 5 times bigger than the blue box then you already know that the scale factor is 5 if you don't know what scale factor is its the number you have to either multiply or divide the sides by to get the new shape here are some examples what is the scale factor or what do you have to times it by to get the new side length 5 times what equals 10 7 times what equals 14 6 times what equals 12 this one is pretty easy since we also know that 5 times 2 is 10 7 times 2 is 14 and 6 times 12 6 times 2 is 12 hoping for a scale factor step 3 adding XS what is that all the sides are given in the problem what if there is a variable finding the scale factor can help you find the missing sides here are some examples of how to find scale factor using the variables 5 times what is 22 times what is 8 and 3 times what is X to find the scale factor you have to do 2 times 4 is 8 and 5 times 4 is 20 so 3 times 4 you know that its 12 using skill factor like we did before we can multiply the sides by the scale factor and solve it but what if the X is on the other triangle like this it's actually really easy you just have to divide by the scale factor instead of multiplying by it, we want to find the smaller lengths not the bigger lengths like we did before dividing makes it smaller here's an example, so we know that the scale factor is going to be 2 because 5 times 2 is 10 6 times 2 is 12 and x times 2 is 14 since were not trying to solve the X on this side were trying to solve the X on this side we have to divide by the scale factor so were dividing by 2 10 divided by 2 is 5 12 divided by 2 is 6 and 14 divided by 2 is 7 this one is a little harder we have an X and E Y it is still pretty easy when you use the scale factor this means you have to multiply and divide here's an example 7 times the scale factor is 35 so Y is on the smaller triangle, so you must divide by the scale factor and X is on the larger triangle, so you must multiply by the scale factor, so you would do 7 times what is 35 its 5 7 times 5 is 35, so you do 4 times 5 is 20, so you know x equals 20 to find the Y you must do the smaller one, so you divide 25 divided by 5 is 5, so you know y equals 5 and that makes sense because we know that this triangle is 5 times larger than this triangle, so these numbers have to correspond with these numbers back when we talked about similar shapes this is what we were talking about all the numbers correspond now that we...
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