Question

Geometry question!

Answer 1

Since we know that dilation of a figure changes all sides of a figure by same factor.

Let us find out factor of dilation of our figure.

We will find side length QR of our quadrilateral QRST and its corresponding side QR' of quadrilateral Q'R'S'T'.

$\text{Length of QR}=5--1$

$\text{Length of QR}=5+1=6$

Let us find side length of Q'R'.

$\text{Length of Q'R'}=1--1$

$\text{Length of Q'R'}=1+1=2$

Let us compare both our side lengths to find factor of dilation,

$\frac{QR}{Q'R'}= \frac{6}{2}$

$\frac{QR}{Q'R'}= 3$

Upon cross multiplication we will get,

$QR=3\cdot Q'R'$

$Q'R'=\frac{1}{3} \cdot QR$

We can see that Q'R' is $\frac{1}{3}$ of Q'R'. Therefore, our factor of dilation is $\frac{1}{3}$.      

Answer 2

Answer:

1/3

Step-by-step explanation: