Question

Pleasee help failingggggggg

6.
S′T′U′V′ is a dilation image of STUV. Which is the correct description of the dilation?


A) an enlargement with scale factor 4


B) a reduction with scale factor 4


C) a reduction with scale factor 1/4


D) an enlargement with scale factor 1/4

Answer 1

the correct answer should be the 3rd a reduction with a scale factor of 1/4 

Answer 2

a reduction with scale factor 1/4

Explanation:

Let the distance between the two points be 1 unit

So, Length of ST = 4 units

Length of S'T' = 1 unit

Scale factor =
`\frac{\text{Length of side of image}}{\text{Length of side of pre-image}}`

Scale factor =
`(1)/(4)`

So, the scale factor is
`(1)/(4)`

So, STUV is reduced by scale factor
`(1)/(4)` to obtain S′T′U′V′

So, Option C is true : a reduction with scale factor 1/4