The points of new triangle is (3,-2), (6,-3) and (2,-5).
Step-by-step explanation:
The given points in the triangle A(-3,7), B(9,3) and C(-7,-5).
The scale factor is [tex]\frac{1}{4}[/tex] and centered at point (5,-5).
The formula to dilate a point that is not centered on a origin is given by,
D(x,y)=(h+t(x-h),k+t(y-t)).
where (h,k) is the center point.
To find A',
[tex]D(-3,7)=(5+\frac{1}{4}(-3-5),-5+\frac{1}{4}(7+5)).[/tex]
[tex]D(-3,7)=(5+\frac{1}{4}(-8),-5+\frac{1}{4}(12)).[/tex]
D(-3,7)=(5-2, -5+3).
D(-3,7)=(3,-2).
To find B',
[tex]D(9,3)=(5+\frac{1}{4}(9-5),-5+\frac{1}{4}(3+5)).[/tex]
[tex]D(9,3)=(5+\frac{1}{4}(4),-5+\frac{1}{4}(8)).[/tex]
D(9,3) = (5+1,-5+2).
D(9.3)=(6,-3).
To find C',
[tex]D(-7,-5)=(5+\frac{1}{4}(-7-5),-5+\frac{1}{4}(-5+5)).[/tex]
[tex]D(-7,-5)=(5+\frac{1}{4}(-12),-5+\frac{1}{4}(0)).[/tex]
D(-7,-5)=(5-3,-5+0).
D(-7,-5)=(2,-5).
∴ The points of new triangle is (3,-2), (6,-3) and (2,-5).
