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Transformations and congruence
Two figures are congruent if you can go from one to another through some combination of translations, reflections and rotations. In this tutorial, we'll really internalize this by working through the actual transformations.
Sal shows that a given pair of pentagons are congruent by mapping one onto the other using rigid transformations.
Sal shows that a given pair of pentagons are not congruent by showing it's not possible to map one onto the other using rigid transformations.
Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent.
Sal reflects and then translates a given pentagon, and determines whether the resulting figure is congruent to the source figure.
Sal maps a given quadrilateral onto another using a translation, a dilation, and a reflection. The quadrilaterals are not congruent because a dilation was used.
Practice the relationship between rigid transformations and congruence through advanced problems.