Dilation the center of dilution is the origin b (2,3) and B(-4,-6) what is the scale factors of this dilation that transformed a B into B

Question

asked Mar 9, 2021 91.9k views

1 Answer

Danyloid · Answer 1 · 2021-03-15T03:08:52+0000

Given:

Consider the two points are B(2,3) and B'(-4,-6).

Center of dilation is the origin.

To find:

The scale factors of this dilation that transformed B into B'.

Solution:

If a figure dilatated by scale factor k and center of dilation is the origin, then

$(x,y)\to (kx,ky)$

It means, the point after dilation is

(x',y')=(kx,ky)

where, k is the scale factor.

k=(x')/(x)

x-coordinate of image is -4 and x-coordinate of original point is 2.

k=(-4)/(2)

k=-2

Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.