Which points could be the vertices of the image of the rectangle after it is dilated about the origin by a scale factor of 3?
Select all that apply.
A. (0,12)
B. (6, 9)
c. (6, 0)
D.
(9,4)
E. (9, 12)
Let's start with the coordinates of the vertices of the original rectangle:
A. (0,0): This is one of the vertices of the original rectangle, but it will not change after dilation because it is already located at the origin.
B. (3,0): This is one of the vertices of the original rectangle. After dilation, it will move three times farther from the origin, becoming (9,0).
C. (3,4): This is one of the vertices of the original rectangle. After dilation, it will move three times farther from the origin, becoming (9,12).
D. (0,4): This is one of the vertices of the original rectangle. After dilation, it will move three times farther from the origin, becoming (0,12).
E. (0,0): This is one of the vertices of the original rectangle, but it will not change after dilation because it is already located at the origin.
So, the vertices of the image of the rectangle after dilation by a scale factor of 3 will be:
A. (0,12)
B. (9,0)
C. (9,12)
D. (0,12)
E. (0,0)
The correct options are A, B, C, and D.