Answer:
[tex]B' = (16,14)[/tex]
[tex]C' = (24,18)[/tex]
[tex]D' =(6,20)[/tex]
Step-by-step explanation:
Given
[tex]B = (8,7)[/tex]
[tex]C = (12,9)[/tex]
[tex]D = (3,10)[/tex]
[tex]r = 2[/tex] --- the scale factor
Required
The new coordinate of each point
To do this, we will interpret dilation as stretching.
So, the new point is calculated as:
[tex]New = Old * Scale\ factor[/tex]
[tex]New = Old * r[/tex]
So, we have:
[tex]B = (8,7)[/tex]
[tex]B' = (8,7) * 2[/tex]
[tex]B' = (16,14)[/tex]
[tex]C = (12,9)[/tex]
[tex]C' = (12,9) * 2[/tex]
[tex]C' = (24,18)[/tex]
[tex]D = (3,10)[/tex]
[tex]D' =(3,10) * 2[/tex]
[tex]D' =(6,20)[/tex]
Hence, the new points are:
[tex]B' = (16,14)[/tex]
[tex]C' = (24,18)[/tex]
[tex]D' =(6,20)[/tex]
