Answer: 3. Point F.
Step-by-step explanation:
The missing statement is: Point F' corresponds to______
- Point D.
- Point E'.
- Point F.
- Point E.
The missing picture is attached.
By definition, the original figure (The figure before the transformation) is called "Pre-image" and the figure obtained after the transformation is called "Image".
You know that the triangle [tex]D'E'F'[/tex] is obtained by transforming the triangle [tex]D EF[/tex]; therefore, the triangle [tex]D EF[/tex] is the Pre-Image and the triangle [tex]D'E'F'[/tex] is the Image.
Therefore, given the point [tex]F[/tex] (which is a vertex on the triangle [tex]D EF[/tex]) you can identify that its image is [tex]F'[/tex] (which is the corresponding vertex on the triangle [tex]D' E'F'[/tex]).
You can also verify it by seeing the angle [tex]F[/tex] and the angle [tex]F'[/tex]. Notice tthat:
[tex]\angle F=\angle F'=90\°[/tex]
Therefore, based on the explained before, you can conclude that the point [tex]F'[/tex] corresponds to the point [tex]F[/tex].
