Point A' is a dilation of point A. Find the scale factor: A (18, 9) A' (6, 3)

Question

asked Sep 22, 2022 187k views

1 Answer

Jayesh Lathiya · Answer 1 · 2022-09-28T01:38:02+0000

Given:

Point A'(6,3) is a dilation of point A(18,9).

To find:

The scale factor.

Solution:

We know that, if a point P is dilated by factor k and origin is the center of dilation, then

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

Let the scale factor for the given problem be k. So,

$A(18,9)\to A'(18k,9k)$

On comparing A'(18k,9k) and A'(6,3), we get

$18k=6\text{ and }9k=3$

$k=(6)/(18)\text{ and }k=(3)/(9)$

$k=(1)/(3)\text{ and }k=(1)/(3)$

Therefore, the scale factor is
.