Transformations and congruence

4 videos
2 skills
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.

Congruent shapes & transformations

VIDEO 1:24 minutes
Sal shows that a given pair of pentagons are congruent by mapping one onto the other using rigid transformations.

Non-congruent shapes & transformations

VIDEO 1:13 minutes
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.

Congruence & transformations

PRACTICE PROBLEMS
Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent.

Performing sequences of transformations

VIDEO 3:57 minutes
Sal reflects and then translates a given pentagon, and determines whether the resulting figure is congruent to the source figure.

Determining mappings (incl. dilations)

VIDEO 5:02 minutes
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.

Determine mappings

PRACTICE PROBLEMS
Map a given shape to another one using rigid transformations and dilations. Determine whether the shapes are congruent.