Question

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)

Answer 1

A,C,E

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

Answer 2

See Explanation

Explanation:

Given

`k = (1)/(4)` --- scale factor

Required

Determine possible new vertices

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

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

`U' = U * (1)/(4)`

`V' = V * (1)/(4)`

`W' = W * (1)/(4)`

Assumptions:

`U = (-4,-8)`

`V = (-4,-4)`

`W = (-8,-8)`

So, the possible vertices are:

`U' = U * (1)/(4)`

`U' = (-4,-8) * (1)/(4)`

`U' = (-1,-2)`

`V' = V * (1)/(4)`

`V' = (-4,-4)* (1)/(4)`

`V' = (-1,-1)`

`W' = W * (1)/(4)`

`W' = (-8,-8)* (1)/(4)`

`W' = (-2,-2)`