Question

△PQR maps to △VWX with the transformation (x, y) (x + 3, y − 1) (3x, 3y).

Answer 1

Answer:

The measure of QR is 4.

Step-by-step explanation:

It is given that △PQR maps to △VWX.

The transformation is defined as

$(x,y)\rightarrow (x+3.y-1)\rightarrow (3x,3y)$

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

$(x,y)\rightarrow (kx,ky)$

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.

$k=\frac{WX}{QR}$

$3=\frac{12}{QR}$

$QR=4$

Therefore the measure of QR is 4.