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Directrix
 one year ago
Best 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

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Of 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?

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1I 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.

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

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

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

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

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Lengths 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.

Directrix
 one year ago
Best ResponseYou've already chosen the best response.1Instead 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.
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