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

Procedures

Point P(2, 3) is transformed two ways. Sequence 1: translate 3
units up, then rotate 90 degrees counterclockwise about the
origin -- this gives (-6, 2). Sequence 2: rotate 90 degrees
counterclockwise about the origin, then translate 3 units up --
this gives (-3, 5). What does this show?

The order of transformations in a sequence matters -- different orders can give different results

There was a calculation error -- both sequences should give the same result

The order never matters for any pair of transformations

Rotation and translation cannot be combined into a sequence