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)$