queenkimm26
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Suppose a dilation of ∆UVW by a scale factor of 1/4, centered at the origin. Which new vertices are correct?
A) U' (-2, -1)
B) U' (-1, -2)
C) V'(1, -1)
D) V' (-1, 1)
E) W' (-2, 2)

Respuesta :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]k = \frac{1}{4}[/tex] --- scale factor

Required

Determine possible new vertices

The vertices of [tex]\triangle UVW[/tex] is not given. So, I will answer the question based on an assumed vertex for [tex]\triangle UVW[/tex]

Given that the scale factor is 1/4, the relationship between [tex]\triangle UVW[/tex] and [tex]\triangle U'V'W'[/tex] is:

[tex]U' = U * \frac{1}{4}[/tex]

[tex]V' = V * \frac{1}{4}[/tex]

[tex]W' = W * \frac{1}{4}[/tex]

Assumptions:

[tex]U = (-4,-8)[/tex]

[tex]V = (-4,-4)[/tex]

[tex]W = (-8,-8)[/tex]

So, the possible vertices are:

[tex]U' = U * \frac{1}{4}[/tex]

[tex]U' = (-4,-8) * \frac{1}{4}[/tex]

[tex]U' = (-1,-2)[/tex]

[tex]V' = V * \frac{1}{4}[/tex]

[tex]V' = (-4,-4)* \frac{1}{4}[/tex]

[tex]V' = (-1,-1)[/tex]

[tex]W' = W * \frac{1}{4}[/tex]

[tex]W' = (-8,-8)* \frac{1}{4}[/tex]

[tex]W' = (-2,-2)[/tex]

deadlyvirus

Answer:

A,C,E

Step-by-step explanation:

Please trust me! You have to reduce everything by 1/4 AKA just take 25% of each OG number for example. W = -8, 8 then, applying 1/4 you'd get W = -2, 2. Then, you can do that with the rest of the numbers!

Hope this helped also ILY make sure to take a break <3

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