Answer:
The 3rd graph represents the dilated image of the rectangle.
Step-by-step explanation:
We are given the rectangle having vertices,
(1,-2), (1,2), (-1,2) and (-1,-2).
<em>Now, this rectangle is dilated about the origin by the scale factor of
</em>
That is, the size of the rectangle is reduced by the factor
.
Then, the vertices of the new rectangle will be,
(1,-2) changes to
= 
(1,2) changes to
= 
(-1,2) changes to
= 
(-1,-2) changes to
= 
So, the vertices of the dilated rectangle are
,
,
and
.
Thus, the 3rd graph shown below represents the dilated image of the rectangle.