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Back to Tutor Intake Assessment: 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

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
A

Concepts

1

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

2

A student says two figures are congruent because "they look about
the same size and shape." What is the issue with this reasoning?

B

Procedures

1

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?

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