Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the square tuvw is a dilation of the square tuvw. what is the scale fac…

Question

the square tuvw is a dilation of the square tuvw. what is the scale factor of the dilation? simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Explanation:

Step1: Identify a side length of original square

Side length of $TUVW$: $TU = |-1 - (-2)| = 2$

Step2: Identify a side length of dilated square

Side length of $T'U'V'W'$: $T'U' = |-5 - (-1)| = 10$

Step3: Calculate scale factor

Scale factor = $\frac{\text{Length of dilated figure}}{\text{Length of original figure}} = \frac{10}{2} = 5$

Answer:

$5$