Question

For the transformation to be a reflection, which statements must be true? Check all that apply.
BD = DB'
CG = GC'
m∠EFA = 90°
The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'.
ΔABC is not congruent to ΔA'B'C'.

Answer 1

A reflection is defined by the axis of symmetry or mirror line. In this problem, the mirror line is the line segment EH. Under reflection, the shape and size of an image is exactly the same as the original figure. This type of transformation is called isometric transformation.

So Statements case

1) BD = DB' Is True

2) CG = GC'Is True

3) m∠EFA = °Is True

4) The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'

5) ΔABC is not congruent to ΔA'B'C'Is False

ΔABC is congruent to ΔA'B'C'therefore the answer is BD = DB' CG = GC'm∠EFA = °The line of reflection, EH, is the perpendicular bisector of BB', AA', and CC'