G-CO: Congruence

Congruence

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Congruence grounds transformational geometry in precise definitions and builds toward formal proof. Four clusters cover transformations in the plane, congruence via rigid motions, proving theorems about lines, angles, triangles, and parallelograms, and making formal geometric constructions with compass and straightedge.

G-CO.AExperiment with transformations in the planeG-CO.BUnderstand congruence in terms of rigid motionsG-CO.CProve geometric theoremsG-CO.DMake geometric constructions
Example Problems
Point G' is the image under the translation:


What are the coordinates of G'?
Two sides of a triangle have the following measures:
46 and 15

Find the range of possible measures for the
third side:
Point A is at and point C is at .
Find the coordinates of point B on
such that .
Which integral gives the arc length of the curve over the interval ?
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