Question

RST is dilated about the origin,O, to creat R’S’T’. Point R is located at (3,9) and point R is located at (1.2, 3.6). Which scale factor was used to perform the dilation

Answer 1

Answer:

The scale factor used is 0.4

Step-by-step explanation:

Given

$R = (3,9)$

$R' = (1.2, 3.6)$

Required

Determine the scale factor of RST

The question can be solved using scale factor formula

Scale factor is calculated as thus;

$Scale\ Factor = \frac{New\ Length}{Old\ Length}$

In this case; R' is the new length and R is the old length

$Scale\ Factor = \frac{R'}{R}$

Substitute the values of R and R'

$Scale\ Factor = \frac{(1.2,3.6)}{(3,9)}$

Factorize the denominator

$Scale\ Factor = \frac{(1.2,3.6)}{2.5(1.2,3.6)}$

$Scale\ Factor = \frac{1}{2.5}$

$Scale\ Factor = 0.4$

Hence, the scale factor used is 0.4