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)
[tex][(4,7)- (1,-2)]*\frac{1}{3} + (1,-2)[/tex]
[tex][3,9]*\frac{1}{3} +(1,-2)[/tex]
[tex][1,3]+(1,-2)= (2,1)[/tex]
For (-8,4)
[tex][(-8,4)- (1,-2)]*\frac{1}{3} + (1,-2)[/tex]
[tex][-9,6]*\frac{1}{3} +(1,-2)[/tex]
[tex][-3,2]+(1,-2)= (-2,0)[/tex]
For (-8,-2)
[tex][(-8,-2)- (1,-2)]*\frac{1}{3} + (1,-2)[/tex]
[tex][-9,0]*\frac{1}{3} +(1,-2)[/tex]
[tex][-3,0]+(1,-2)= (-2,-2)[/tex]
Therefore these (2,1) , (-2,0) and (-2,-2) are the new vertices after dilation.
