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.

How to determine that two figures are congruent (example)

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

How to determine that two figures are not congruent (example)

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.

Determine whether two figures are congruent

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

How to perform a sequence of transformations (example)

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

How to map one figure onto another using a sequence of transformations (example)

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.

Perform sequences of transformations and determine congruence

PRACTICE PROBLEMS
Practice the relationship between rigid transformations and congruence through advanced problems.