Answer:
The measure of QR is 4.
Step-by-step explanation:
It is given that △PQR maps to △VWX.
The transformation is defined as
[tex](x,y)\rightarrow (x+3.y-1)\rightarrow (3x,3y)[/tex]
It means first transformation is translation and second transformation is dilation.
Translation is a rigid transformation. It means the corresponding sides of image and preimage are same.
Dilation is defined as
[tex](x,y)\rightarrow (kx,ky)[/tex]
From the given rule it is clear that the value of k is 3 it means the dilation factor is 3. It means the corresponding sides of image are 3 times of the preimage.
[tex]k=\frac{WX}{QR}[/tex]
[tex]3=\frac{12}{QR}[/tex]
[tex]QR=4[/tex]
Therefore the measure of QR is 4.
