Two triangles on the coordinate plane, AABC and ADEF, are congruent. Select all of the following that must be true.
There exists a rigid motion that takes AABC onto ADEF.
Any rigid motion R that takes AB onto DE also takes AABC onto ADEF.
Any rigid motion R that takes ZBAC onto ZEDF also takes AABC onto ADEF.
Any rigid motion R that takes AABC onto ADEF also takes ZABC onto ZDEF.
Any rigid motion R that takes AABC onto ADEF also takes AB onto DE.
Any rigid motion R that takes ZACB onto ZDFE also takes AB onto DE.