SOLUTION: Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k>0. 1. Are rectangle 1 and Rectangle 2 similar? Wh

Question 1113384: Rectangle 1 has length x and width y. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k, where k>0.
1. Are rectangle 1 and Rectangle 2 similar? Why or why not?
2. Write a paragraph proof to show that the perimeter of Rectangle 2 is k times the perimeter of Rectangle 1.
3. Write a paragraph proof to show that the area of Rectangle 2 is k^2 times the area of Rectangle 1.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
1. They are similar because corresponding sides between the two rectangles are in the ratio k, that is and .
2. P=2L+2W for a rectangle, if one scales the sides by k, the new rectangle has perimeter
3. A=LW, if one scales the sides by k, the new area

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