Question

Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.

Use the polygon tool to graph the dilated figure.

Answer 1

see attached diagram

Explanation:

A dilation with a scale factor of
`(1)/(3)` centered at the origin has a rule:

`(x,y)\mapsto\left((x)/(3),(y)/(3)\right).`

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

• 
  `D\left((-3)/(3),(3)/(3)\right)\Rightarrow D(-1,1);`
• 
  `E\left((3)/(3),(9)/(3)\right)\Rightarrow E(1,3);`
• 
  `F\left((6)/(3),(6)/(3)\right)\Rightarrow F(2,2).`