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Answer:
The rule of dilation is .
The vertices of the dilated triangle are ,
and
, respectively.
Step-by-step explanation:
From Linear Algebra, we define the dilation by the following definition:
(1)
Where:
- Center of dilation, dimensionless.
- Scale factor, dimensionless.
- Original point, dimensionless.
- Dilated point, dimensionless.
If we know that ,
,
,
and
, then dilated points of triangle ABC are, respectively:
(2)
(3)
(4)
The rule of dilation is:
(5)
The vertices of the dilated triangle are ,
and
, respectively.