Respuesta :
Answer:
The scale factor is 2 and the statement "The dilation an expansion" is true.
Step-by-step explanation:
The center of dilation is origin and dilation is rule is given as
[tex](5,0)\rightarrow (10,0)[/tex]
The dilation with scale factor k with the center of dilation at origin is defined as
[tex]P(x,y)\rightarrow P'(kx,ky)[/tex]
If k>1, then it is an expansion and if k<1, then it is a compression.
The formula for scale factor is
[tex]k=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}[/tex]
[tex]k=\frac{10}{5}[/tex]
[tex]k=2[/tex]
The scale factor is 2.
Since 2>1, therefore the given dilation is an expansion.
The scale factor is 2 and the statement "The dilation an expansion" is true.
