: If Pentagon ABCDE is dilated about the origin with a scale factor of into Pentagon A'B'C'D'E' what coordinate describes the location of Point A'?

The question is incomplete. Here is the complete question.

A pentagon ABCDE is shown in the image below.

If pentagon ABCDE is dilated about the origin with a scale factor of 3 into Pentagon A'B'C'D'E', what coordinate pair describes the location of point A'?

(i) A' (-18,-9)

(ii) A' (-9,18)

(iii) A' (-1,2)

(iv) A' (1,3)

(ii) A'(-9,18)

Step-by-step explanation: DIlation of a polygon is when you create an image that is bigger or smaller than the original. The scale factor is the ratio you multiply your original polygon to create its dilation.

In the pentagon ABCDE, the coordinates for point A is (-3,6).

The scale factor is 3, so point A' will be:

A (-3,6) ---> A'(-3*3,6*3)

A (-3,6) ---> A'(-9,18)

In the Pentagon A'B'C'D'E', point A' will have coordinates (-9,18).