Congruence
PrintCongruence 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.
Example Problems
Point G' is the image under the translation:
What are the coordinates of G'?
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:
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 .
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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