Question

Graph the image of the figure after a dilation with a scale factor of 1/3 centered at (1, −2) . Use the polygon tool to graph the triangle by connecting all its vertices.

Answer 1

Answer:

New image will have (2,1) , (-2,0) and (-2,-2) as new vertex.

Below is the graph.

Step-by-step explanation:

Given the triangle with points (4,7) , (-8,4) and (-8,-2) having dilation center at (1,-2) .

We have to dilate using a factor of 1/3 and graph the new image.

Let us find all the three points,

Formula,

New point = [old point - dilation center]* scale factor + dilation center

So,

For (4,7)

$[(4,7)- (1,-2)]*\frac{1}{3} + (1,-2)$

$[3,9]*\frac{1}{3} +(1,-2)$

$[1,3]+(1,-2)= (2,1)$

For (-8,4)

$[(-8,4)- (1,-2)]*\frac{1}{3} + (1,-2)$

$[-9,6]*\frac{1}{3} +(1,-2)$

$[-3,2]+(1,-2)= (-2,0)$

For (-8,-2)

$[(-8,-2)- (1,-2)]*\frac{1}{3} + (1,-2)$

$[-9,0]*\frac{1}{3} +(1,-2)$

$[-3,0]+(1,-2)= (-2,-2)$

Therefore these (2,1) , (-2,0) and (-2,-2) are the new vertices after dilation.