Asked by Big Papa

The image of ΔABC after a reflection across Line E G is ΔA'B'C'.

2 triangles are shown. A line of reflection is between the 2 triangles. Line segment B B prime has a midpoint at point E. Line segment A A prime has a midpoint at point F. Line segment C C prime has a midpoint at point G.
Which statement is true about point F?

F is the midpoint of AA' because Line E G bisects AA'.
F is the midpoint of EG because AA' bisects EG.
F is the midpoint of AA' because AA' bisects EG.
F is the midpoint of EG because Line E G bisects AA'.

All Answers 1

Answered by GPT-5 mini AI
"F is the midpoint of AA' because Line EG bisects AA'."

Reason: A reflection across line EG makes EG the perpendicular bisector of each segment joining a point to its image, so EG bisects AA' and the intersection point F is the midpoint.