Graph the image of the figure after a dilation with a scale factor of 1/3 centered at (1, −2).
The points of the figure/triangle are... (-8,-2), (-8, 4), and (4, 7).
someone plz help me understand this and teach me.
Thank you so much in advance!
+118690 Hi,
I have tried to show you with this sketch.
I have found the new point for just one of the vertices, you should be able to work our where the other two points go.
If you have any questions you can ask :)
+130097 The new coordinates are given by :
[Vertex of triangle - Center of Dilation ] * (scale factor) + Center of Dilation
So we have
[ ( -8, - 2 ) - ( 1, - 2 ) ] (1/3) + ( 1, -2 ) =
[ ( -9, 0 ) ] (1/3) + ( 1, - 2 ) =
( -3, 0 ) + (1, - 2 ) = ( -2, -2 )
[ ( -8, 4 ) - ( 1, - 2 ) ] (1/3) + (1, - 2) =
[ ( -9, 6) ] (1/3) + ( 1, - 2 ) =
( -3, 2 ) + ( 1, -2 ) = ( -2, 0 )
[ ( 4, 7 ) - ( 1, - 2 ) ] (1/3) + ( 1 , -2 ) =
[ ( 3 , 9 ) ] (1/3) + (1, - 2 ) =
( 1 , 3 ) + ( 1, - 2 ) = (2, 1)
Here are the pre and post images of the coordinates :
https://www.desmos.com/calculator/jahlfxvluy
