Question

What are the coordinates of the image of point A after the segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin?

Answer 1

Answer:1/-2

Explanation:

Answer 2

The correct option is 2.

Explanation:

If a figure dilated by a scale factor of k with a center of dilation at the origin, then the dilation rule is defined as

`(x,y)\rightarrow (kx,ky)`

It is given that segment has been dilated by a scale factor of 1/4 with a center of dilation at the origin. So,

`(x,y)\rightarrow ((1)/(4)x,(1)/(4)y)`

From the given graph it is clear that the coordinates of point A are (4,-8).So, the image of point A is,

`A(4,-8)\rightarrow A'((1)/(4)(4),(1)/(4)(-8))`

`A(4,-8)\rightarrow A'(1,-2)`

The image of point A is at (1,-2). Therefore the correct option is 2.