Back to Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations — Problem 1 · Task Set 60

8.G.A.2 Tutor Intake -- Congruence Through Sequences of Rigid Motions

This short check helps your tutor see where to start. Work on your own,
without a calculator. Do your best -- the goal is to find what to work
on together, not to grade you.

Grade 8·4 problems·~6 min·Common Core Math - Grade 8·container·8-g-a-2

Work through problems with immediate feedback

Concepts

Triangle ABC cannot be mapped onto triangle DEF by any single
translation, reflection, or rotation alone. Could the triangles
still be congruent?

Yes -- a sequence of two or more rigid motions might map ABC onto DEF

No -- congruence requires exactly one rigid motion

No -- if one motion doesn't work, no combination will either

Only if the triangles have the same area