Answer: The answer is attached.
Step-by-step explanation:
The missing rule is: [tex](x,y)[/tex] →[tex](x+2,y-2)[/tex]
Translation is defined as a geometric transformations in which all the points of a figure are moved or translated the same distance in a fixed direction.
In this kind of transformation the size and the shape of the figure do not change.
The original figure is called "Pre-image" and the figure obtained after a transformation is called "Image".
In this case, you know that the rule for translating the triangle ABC (which is the Pre-image) is:
[tex](x,y)[/tex] →[tex](x+2,y-2)[/tex]
You can notice that 2 units are added to the x-coordinate of each vertex of the triangle ABC, and 2 units are subtracted from the y-coordinate of each vertex.
This means that the triangle A'B'C' (The Image) will be obtained by moving the triangle ABC 2 units to the right and 2 units down.
Based on this, you can determine that the image that shows this transformation is the one attached.
