Sally reasons as follows: "If angle is congruent to angle then I can move point to
point so that side lies on top of side and side lies on top of side . Since
and are congruent as are and the two triangles match up exactly and
so they are congruent.''
Explain Sally's reasoning for why triangle is congruent to triangle using the
language of reflections:
a. Construct a reflection which maps point A to point D .
b. Construct a reflection which does not move D but which sends B' to E.
c. Construct a reflection which does not move D or E but which sends C'' to F.
Problem from Illustrative Math
https://www.illustrativemathematics.org/

a. Construct a reflection which maps point A to point D .
b. Construct a reflection which does not move D but which sends B' to E.
c. Construct a reflection which does not move D or E but which sends C'' to F.