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DirectrixBest ResponseYou've already chosen the best response.1
@superraymond Lengths of corresponding sides of similar polygons are in proportion (by definition of similar polygons). So the following extended proportion is true: (x  1) / 6 = (y+1)/21 = 32/24 = 16/12
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Of those, the last two simplify to 4/3 which is the scale factor. To find x, solve for x in this proportion, (x  1) / 6 = 4/3  > Read as (x  1 ) is to 6 as 4 is to 3. Use the meansextremes property (cross multiply). 3*(x  1) = 6*4 What comes next?
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
I understand that you feel lost right off the bat but I have to ask if you know the definition of similar polygons. In Geometry, there's no getting around learning the theorems and the definitions.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
I am asking you to solve 3*(x  1) = 6*4 for x.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Use the Distributive Property to multiply 3 times BOTH x and 1. 3*(x1)= 3x1 is not correct. Try again.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Correct. Do you want to find y?
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
I am not sure which 3 and 4 you mean. Is it this > the last two simplify to 4/3
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Lengths of corresponding sides of similar polygons are in proportion. That means this: (x  1) / 6 = (y+1)/21 = 32/24 = 16/12 Look at 32/24 = 16/12 > Both simplify to 4/3 or 4 to 3. The ratio of corresponding sides is 4 to 3. That is why (x  1) / 6 = 4/3. (y+1)/21 is also equal to 4/3.
 one year ago

DirectrixBest ResponseYou've already chosen the best response.1
Instead of 4/3, you could use 16/12 or 32/24 to solve for x. The answer would be the same because both 16/12 and 32/24 = 4/3.
 one year ago
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