Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.
DIlations are defined by the follwing operation:
(1)
Where:
- Center of dilation.
- Dilation factor.
- Original point of the polygon.
- Dilated point of the polygon.
If we know that
,
,
,
,
and
, then the coordinates of the new polygon are:
![J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]](https://tex.z-dn.net/?f=J%27%28x%2Cy%29%20%3D%20%281%2C1%29%20%2B%200.5%5Ccdot%20%5B%283%2C1%29-%281%2C1%29%5D)



![K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]](https://tex.z-dn.net/?f=K%27%28x%2Cy%29%20%3D%20%281%2C1%29%20%2B%200.5%5Ccdot%20%5B%285%2C-3%29-%281%2C1%29%5D)



![L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]](https://tex.z-dn.net/?f=L%27%28x%2Cy%29%20%3D%20%281%2C1%29%20%2B%200.5%5Ccdot%20%5B%285%2C5%29-%281%2C1%29%5D)



![M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]](https://tex.z-dn.net/?f=M%27%28x%2Cy%29%20%3D%20%281%2C1%29%20%2B%200.5%5Ccdot%20%5B%283%2C7%29-%281%2C1%29%5D)



Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The <em>original</em> polygon is highlighted in <em>red</em> and the image is highlighted in <em>blue</em>.
We kindly invite to check this question on dilations: brainly.com/question/13176891
5/6 of 3/4 is 1/12 of the fraction of her total allowance
Answer:
-4 meters
Step-by-step explanation:
-9 - 20 meters (went down)
= -29 meters
-29+25 meters (went up)
= -4 meters
Hope this helped!