Consider the rectangle. -
Which points could be the vertices of the image of the rectangle after it is dilated from the origin by a scale factor of 3? Select all that apply.
(0,5)
(0, 12)
(6,9)
(6,0)
(9, 4)
(9, 12)

Given:

The graph of a rectangle.

The given rectangle is dilated from the origin by a scale factor of 3.

To find:

The vertices of the image of the rectangle after the dilation.

Solution:

From the given graph it is clear that the vertices of the rectangle are A(0,2), B(0,4), C(3,4) and D(3,2).

If a figure is dilated from the origin by a scale factor of 3, then

Using this rule, the vertices of the image are:

Similarly,

And,

And,

The vertices of the image after dilation are (0,6), (0,12), (9,12), (9,6).

Therefore, the correct options are B and F.

the answer is c. 23/3