Answer: C) No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
Step-by-step explanation:
We know that in dilation , to find the points of the image are moved away from the center of dilation proportionally.
Let us assume that Δ A'B'C' a dilation of ΔABC.
Therefore, we have
[tex]\frac{PA'}{PA} =\frac{PC'}{PC}[/tex]
⇒ [tex]\frac{2+4}{2} =\frac{3+5}{3}[/tex]
⇒[tex]3=\frac{8}{3} ..............[/tex] → [tex]which[/tex] [tex]is[/tex] [tex]not[/tex] [tex]possible[/tex]
Hence, Δ A'B'C' is not a dilation of ΔABC.
