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 coor…

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asked Mar 15, 2017 68.2k views

2 Answers

SanD · Answer 1 · 2017-03-22T07:42:46+0000

Answer:

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

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).

$(x,y)\rightarrow ((3)/(2)(x-5)+5,(3)/(2)(y+5)-5)$

The coordinates of image are

$(5,-1)\rightarrow ((3)/(2)(5-5)+5,(3)/(2)(-1+5)-5)\rightarrow (5,1)$

$(3,-5)\rightarrow ((3)/(2)(3-5)+3,(3)/(2)(-5+5)-5)\rightarrow (2,-5)$

$(-1,-5)\rightarrow ((3)/(2)(-1-5)+5,(3)/(2)(-5+5)-5)\rightarrow (-4,-5)$

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