Question

A figure is dilated by a scale factor of 1/2. If the origin is the center of dilaton, what is the image of a vertex located at (3, 4)?

Answer 1

Answer:
(9,12).
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

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

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.


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

Answer 2

(9,12).

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 asnIt is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So, 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. Therefore, the image of a vertex located at (3, 4) is (9,12).