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?

Question

asked Nov 24, 2019 77.9k views

2 Answers

Bitscanbyte · Answer 1 · 2019-11-30T00:12:28+0000

Answer:

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.