Question

A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3, 4)?

Answer 1

Answer:

(9,12).

Step-by-step explanation:

If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as

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

It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,

$P(x,y)=P'(3x,3y)$

We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.

$P(3,4)=P'(3(3),3(4))$

$P(3,4)=P'(9,12)$

Therefore, the image of a vertex located at (3, 4) is (9,12).