Question

For EH to be the line of reflection between A ABC and

AA'B'C', which statements must be true?
a.BD = DB
b. DF = FG
c.mZEFA = 90°
d.The line of reflection, EH, is the perpendicular bisector
of BB', AA', and CC.

Answer 1

For EH to be the line of reflection between triangles ABC and A'B'C', EH must be the perpendicular bisector of line segments AA', BB', and CC', creating symmetric halves.

Step-by-step explanation:

For EH to be the line of reflection between ΔABC and ΔA'B'C', certain geometric conditions must be satisfied to ensure symmetry. Primarily, the line of reflection must be the perpendicular bisector of the segments connecting corresponding vertices of the two figures. More specifically, line EH must bisect BB', AA', and CC' at 90-degree angles with equal distances on either side of the line EH. In the context of reflection, the line of reflection is analogous to the normal described in the law of reflection, where the angle of incidence equals the angle of reflection relative to this normal line.