Question

Square RSTU dilates by a factor of 1/2 with respect to the origin to create square R'S'T'U'. If R'S' is 2 units, what is RS? 0.5 units 1 unit 4 units 2 units

Answer 1

X=4

Explanation:

2÷
`(1)/(2)`=4

Answer 2

You multiply the number of units by the value of the dilation. Since the dilation is the factor of 1/2, however, the end result is 1, so you can solve this with an equation.

The original equation is:
x times 1/2 = 2
or
0.5x=2

Now, you divide both sides by 0.5 to solve for x.
0.5x/0.5=2/0.5
x = 4

Therefore, the answer is 4 units.