Question

rectangle rstu undergoes a dilation centered at the origin by a scale factor of 2 to create rectangle
what is the unit length of \\(\overline{ut}\\)?
a. 2
b. 4
c. 8
d. 16

Explanation:

Step1: Find original $\overline{UT}$ length

Since $U(-2,-1)$ and $T(2,-1)$ have the same $y$-coordinate, calculate the horizontal distance:
$\text{Original length} = |2 - (-2)| = 4$

Step2: Apply dilation scale factor

Multiply original length by scale factor 2:
$\text{Dilated length} = 4 \times 2 = 8$

Answer:

C. 8