G-CO: Geometry - Congruence

Geometry - Congruence

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Congruence defines transformations precisely: translations, rotations, reflections, and their compositions. Standards include proving triangle congruence criteria using rigid motions and making formal constructions with compass and straightedge. This domain is the proof-based core of Geometry.

G-CO.AExperiment with transformations in the plane.G-CO.BUnderstand congruence in terms of rigid motions.G-CO.CProve geometric theorems and, when appropriate, the converse of theorems.G-CO.DMake geometric constructions.
Example Problems
Point Q' is the image of Q under a translation.
What was the translation?
Two sides of a triangle have the following measures:
46 and 15

Find the range of possible measures for the
third side:
Write the equation of a line that is parallel to and that passes through the point .
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