Mathematics, 16.02.2021 04:00 wcjackie813
Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the quadrilateral after a dilation with scale factor 2/3.
Answer choices
J'(0, 0), K'(0, 9), L'(27/2, 18), and M'(18, 0)
J'(0, 0), K'(0, 4), L'(6, 8), and M'(8, 0)
J'(0, 0), K'(0, −4), L'(−6, −4), and M'(−8, 0)
J'(2/3, 2/3), K'(2/3, 20/3), L'(9/3, 38/3), and M'(38/3, 2/3)
Answers: 1
are 
, 
, 
and 
.
. Vectorially speaking, dilation is described by following expression: ![D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)]](/tpl/images/1121/1828/c0fd5.png)
(1)
- Center of dilation.
- Original point.
- Dilated point.
- Dilation factor.
, 
, 
, 
and 
, then the dilated points are, respectively:![J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)]](/tpl/images/1121/1828/71373.png)
![J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)]](/tpl/images/1121/1828/55c18.png)
![K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)]](/tpl/images/1121/1828/bbe4b.png)
![K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)]](/tpl/images/1121/1828/7e2e6.png)
![L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)]](/tpl/images/1121/1828/2dc07.png)
![L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)]](/tpl/images/1121/1828/245eb.png)
![M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)]](/tpl/images/1121/1828/472da.png)
![M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)]](/tpl/images/1121/1828/89c08.png)
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Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the qu...
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