Answer:
(-1/2,3/2)
Step-by-step explanation:
The rule for dilation about (0,0) by a scale factor is given as:
(x,y)----------(kx,ky)
So if (4,6) was mapped to (2,3) by dilation it means;
x=4
kx=2
k=2/4 =1/2
Hence in this case, the dilation rule is ;
(x,y)---------(1/2x ,1/2y)
For (-1,3) ---------(1/2*-1, 1/2*3)
(-1/2, 3/2)
Answer:
[tex](-\frac{1}{2}, \frac{3}{2})[/tex].
Step-by-step explanation:
Since, the rule of dilation about origin by the scale factor k is,
[tex](x,y)\rightarrow (kx,ky)[/tex]
Given,
The dilation maps (4, 6) to (2, 3).
Let k be the scale factor for this dilation,
⇒ 4k = 2 ⇒ k = [tex]\frac{2}{4}=\frac{1}{2}[/tex],
Thus, under the dilation rule would be,
[tex](x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)[/tex]
Hence, (-1,3) would be mapped to [tex](-\frac{1}{2}, \frac{3}{2})[/tex].
