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HELP PLEASE

Draw the image of  under the dilation with scale factor 2 and center of dilation (0, 0). Label the image . SHOW YOUR CALCULATIONS IN THE SPACE PROVIDED.

 

https://image.prntscr.com/image/JnSW1kXTQoyBWGm-g9bKbg.png

sii1lver  Jan 6, 2018

Best Answer 

 #1
avatar+1601 
+2

When a dilation occurs to a figure about the origin the scale factor, k, has the following effect to the coordinates of that figure.

 

\((x,y)\Rightarrow(kx,ky)\)

 

The scale factor in this case is 2. We can use this to calculate the coordinates of the resulting image. 

 

\(A(-4,-1)\Rightarrow A'(-8,-2)\\ B(-4,-3)\Rightarrow B'(-8,-6)\\ C(-1,-3)\Rightarrow C'(-2,-6)\)

 

 

Here is the drawing with the preimage and image labeled. The dotted lines are not necessary, but they show the effect of the dilation.

TheXSquaredFactor  Jan 6, 2018
edited by TheXSquaredFactor  Jan 6, 2018
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1+0 Answers

 #1
avatar+1601 
+2
Best Answer

When a dilation occurs to a figure about the origin the scale factor, k, has the following effect to the coordinates of that figure.

 

\((x,y)\Rightarrow(kx,ky)\)

 

The scale factor in this case is 2. We can use this to calculate the coordinates of the resulting image. 

 

\(A(-4,-1)\Rightarrow A'(-8,-2)\\ B(-4,-3)\Rightarrow B'(-8,-6)\\ C(-1,-3)\Rightarrow C'(-2,-6)\)

 

 

Here is the drawing with the preimage and image labeled. The dotted lines are not necessary, but they show the effect of the dilation.

TheXSquaredFactor  Jan 6, 2018
edited by TheXSquaredFactor  Jan 6, 2018

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