Respuesta :
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is [tex]D_{Q,2.5}[/tex]. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.
[tex]\text{Scale factor}=\dfrac{QU'}{QU}[/tex]
It is given that QU=4 and scale factor = 2.5.
[tex]2.5=\dfrac{QU'}{4}[/tex]
Multiply both sides by 4.
[tex]2.5\times 4=QU'[/tex]
[tex]10=QU'[/tex]
We know that
[tex]UU'=QU'-QU[/tex]
[tex]UU'=10-4[/tex]
[tex]UU'=6[/tex]
The distance between U' and U is 6 units.
Therefore, the correct option is C.
Answer:
the answer is c
Step-by-step explanation:
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