Dilation involves changing the size of triangle QRS
The coordinates of R' are (-2/5, 1/5)
The coordinate of R is given as:
[tex]\mathbf{R =(-2,1)}[/tex]
The scale factor is given as 1/5; i.e.
[tex]\mathbf{k = \frac 15}[/tex]
The dilation occurs through the origin,
So, the coordinates of R' is calculated using:
[tex]\mathbf{R' = k \times R}[/tex]
This gives
[tex]\mathbf{R' = \frac 15 \times (-2,1)}[/tex]
Multiply
[tex]\mathbf{R' = (-\frac 25,\frac 15)}[/tex]
Hence, the coordinates of R' are (-2/5, 1/5)
Read more about dilation at:
https://brainly.com/question/13176891
