MAFS.912.G-CO.2.6

MAFS.912.G-CO.2.6 - Use geometric descriptions of rigid motions to transform figures, predict the effect of rigid motion on a given figure, or use definition of congruence in terms of rigid motions to determine if two given figures are congruent.

Also assesses MAFS.912.G-C0.2.7 - Use the definition of congruence in terms of rigid motion to show that two triangles are congruent if and only if corresponding sides and angles are congruent.

Also assess MAFS.912.G-CO.2.8 - Explain how the criteria for triangle congruence (ASA, SAS, SSS, and Hypotenuse-Leg) follow from the definition of congruence in terms of rigid motions.

1. The benchmark will be assessed using Graphic Response, Hot Text Response, Movable Text Response, Multiple Choice, Multi-select, Open Response, or Simulation Response.

2. Items may require student to justify congruence using properties of rigid motion.

3. Items should NOT require the student to use the distance formula.

4. Items may require the student to be familiar with using an algebraic description, x → x + 3, for transformations.

5. Items should NOT use matrices to describe transformations.

6. Items may require student to determine the rigid motions that show that two triangles are congruent.

7. Items may ask students to name corresponding angles and/or sides.

8. Items may require students to list sufficient conditions to prove triangles are congruent or determine if a given list is sufficient to prove congruence.

9. Items may require student to give statements to complete formal and informal proofs.

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Select sample problems taken from FLDVIPN teacher materials

Violet Esopakis - Palm Beach Co.
Stephanie Fitzwater - Seminole Co.
Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
Jodi Van Wagoner - Brevard Co.