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Graph the image of the figure after a dilation with a scale factor of 3/2 centered at (5, −5).


Use the polygon tool to graph the triangle by connecting all its vertices


the coordinates are


(5,-1)

(3,-5)

(-1,-5)

Verified Answer :

Maxbaby

-1 -5 hope it helps let me know

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

\((x,y)\rightarrow (k(x-a)+a,k(y-b)+b)\)

The figure after a dilation with a scale factor of 3/2 centered at (5, −5).

\((x,y)\rightarrow (\frac{3}{2}(x-5)+5,\frac{3}{2}(y+5)-5)\)

The coordinates of image are

\((5,-1)\rightarrow (\frac{3}{2}(5-5)+5,\frac{3}{2}(-1+5)-5)\rightarrow (5,1)\)

\((3,-5)\rightarrow (\frac{3}{2}(3-5)+3,\frac{3}{2}(-5+5)-5)\rightarrow (2,-5)\)

\((-1,-5)\rightarrow (\frac{3}{2}(-1-5)+5,\frac{3}{2}(-5+5)-5)\rightarrow (-4,-5)\)

Therefore vertices of image are (5,1), (2,-5) and (-4,-5).

View image DelcieRiveria

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