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

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

Below is the graph.

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)]*(1)/(3) + (1,-2)`

`[3,9]*(1)/(3) +(1,-2)`

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

For (-8,4)

`[(-8,4)- (1,-2)]*(1)/(3) + (1,-2)`

`[-9,6]*(1)/(3) +(1,-2)`

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

For (-8,-2)

`[(-8,-2)- (1,-2)]*(1)/(3) + (1,-2)`

`[-9,0]*(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.