Mathematics, 14.12.2020 02:20 lovelysoul4698
write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,1), B(2,2), C(4,1) and d(2,-1). Use a scale factor of 2
Answers: 1
, 
, 
and 
.![P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]](/tpl/images/0979/5570/e2cbb.png)
(1)
- Center of dilation, dimensionless.
- Original point, dimensionless.
- Scale factor, dimensionless.
- Dilated point, dimensionless.
, 
, 
, 
, 
and 
, then the dilated points are, respectively:![A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]](/tpl/images/0979/5570/d01bd.png)
(2)![A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]](/tpl/images/0979/5570/5678b.png)
![B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]](/tpl/images/0979/5570/d308a.png)
(3)![B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]](/tpl/images/0979/5570/25c36.png)
![C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]](/tpl/images/0979/5570/05fd2.png)
![C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]](/tpl/images/0979/5570/7f186.png)
![D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]](/tpl/images/0979/5570/982e0.png)
![D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]](/tpl/images/0979/5570/5549a.png)
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