Answer :
Answer:
The vertices of image are (5,1), (2,-5) and (-4,-5).
Step-by-step explanation:
The vertices of triangle are (5,-1), (3,-5) and (-1,-5).
If a figure dilated by scale factor k centered at (a,b), then
[tex](x,y)\rightarrow (k(x-a)+a,k(y-b)+b)[/tex]
The figure after a dilation with a scale factor of 3/2 centered at (5, −5).
[tex](x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)[/tex]
The coordinates of image are
[tex](5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)[/tex]
[tex](3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)[/tex]
[tex](-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)[/tex]
Therefore vertices of image are (5,1), (2,-5) and (-4,-5).
