Answer:
From the given triangle figure;
Labelled the triangle as A , B and C.
The coordinates of this triangle ABC are;
A = (1, 10) ,
B = (-2, 4)
C = (7, 4).
Given : Scale factor(k) = and centered at point (4, -2).
The rule of dilation with and center at point (4,-2) is:
or
then, the dilation of the given figure are;
=
=
= A'(3 , 2)
=
=
=B'(2 , 0)
=
=
= C'(5 , 0)
The coordinates of dilation images are:
A' = (3,2) , B' = (2, 0) and C' = (5, 0)
You can see the graph of the dilated image as shown below:
