+0  
 
+1
67
1
avatar+151 

Graph the image of the figure after a dilation with a scale factor of 13 centered at (1, −2) .

Use the polygon tool to graph the triangle by connecting all its vertices.

The graph points are (4,7),(-8,4),(-8,-2) I know how to dilate them, but it's centered at (1,-2) so I'm confused 

sii1lver  Jan 5, 2018
Sort: 

1+0 Answers

 #1
avatar+80874 
+1

The "formula"  for finding the new points is as follows

 

New Point  = [  Old Point - Dilation Center ] *Scale Factor + Dilation Center

 

Here's the first one.....you should be able to do the other three based on this....if not, let me know

 

Note that  (a, b)  - (c, d)  = ( a - c , b - d)       and  (a , b) + (c , d)  = (a + c , b + d)

 

Here's the dilation result for  (4,7) 

 

New Point =  [  (4, 7)  - ( 1, -2) ] * 13  +  (1,-2)

 

=   [  ( 3, 9) ] * 13  +  (1,-2)

 

=    (39, 117 )  +  (1, -2)

 

 (40, 115)

 

 

cool cool cool

CPhill  Jan 6, 2018
edited by CPhill  Jan 6, 2018
edited by CPhill  Jan 7, 2018

8 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details