Geography, 02.12.2020 17:50 portedon6626
If the vertex of image Q’ is located at the coordinates (16,8) was dilated by the scale factor of 2, what was the coordinates for the pre-image Q?
Answers: 3
.![Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]](/tpl/images/0941/7673/7211c.png)
(1)
- Reference point, dimensionless.
- Original point, dimensionless.
- Dilated point, dimensionless.
- Dilation factor, dimensionless.
, 
and 
, then the original point is:![Q'(x,y)-O(x,y) = k\cdot [Q(x,y)-O(x,y)]](/tpl/images/0941/7673/df9a4.png)
![Q(x,y) = O(x,y) +\frac{1}{k}\cdot [Q'(x,y)-O(x,y)]](/tpl/images/0941/7673/54df2.png)
![Q(x,y) =(0,0)+\frac{1}{2}\cdot [(16,8)-(0,0)]](/tpl/images/0941/7673/5ccf2.png)
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If the vertex of image Q’ is located at the coordinates (16,8) was dilated by the scale factor of 2,...
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