Question 1138985
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With the center of the dilation at (2,3) and A at (2,5), the difference is (0,2).  With a dilation factor of 2, that difference becomes (0,4).  So A1 is (2,3)+(0,4) = (2,7).<br>
Similarly, the difference between the center and B(-3,3) is (-5,0); with a dilation factor of 2, that difference becomes (-10,0); then B1 is (2,3)+(-10,0) = (-8,3).<br>
And the difference between the center and C(2,1) is (0,-2); with the dilation factor of 2 that becomes (0,-4); and then C1 is (2,3)+(0,-4) = (2,-1).<br>
A graph of ABC and A1B1C1...<br>
{{{drawing(400,400,-10,6,-2,8,
circle(2,3,.1),locate(2.5,3.25,"P(2,3)"),
circle(2,5,.1),locate(2.5,5.25,"A(2,5)"),
circle(2,1,.1),locate(2.5,1.25,"C(2,1)"),
circle(-3,3,.1),locate(-2.5,3.25,"B(-3,3)"),
circle(2,7,.1),locate (2.5,7.25,"A1(2,7)"),
circle(2,-1,.1),locate(2.5,-.75,"C1(2,-1)"),
circle(-8,3,.1),locate(-7.5,3.25,"B1(-8,3)"),
line(2,5,2,1),line(2,1,-3,3),line(-3,3,2,5),
line(2,7,2,-1),line(2,-1,-8,3),line(-8,3,2,7)
)}}}