Question

Dilate the figure by the scale factor. Then enterthe new coordinates.A(-1,1)B(4,0)K=5A'( [?],[])B'( 1 )C'([ ],[]).C(1,-3)EnterAnswer

Answer 1

A dilation is a proportional stretch or shrink of an image based on a scale factor. It is represented by:

`(x,y)\rightarrow(K\cdot x,\text{ K}\cdot y)`

Then, for the figure on the question tab and scale factor of 5:

`A(-1,1)\rightarrow A^(\prime)(-1\cdot5,1\cdot5)=A^(\prime)(-5,\text{ 5)}`
`B(4,0)\rightarrow B^(\prime)(4\cdot5,0\cdot5)=B^(\prime)(20,0)`
`C(1,-3)\rightarrow C^(\prime)(1\cdot5,-3\cdot5)=C^(\prime)(5,-15)`