Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an
object’s position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Visualizing Transformations, one can choose a transformation and apply it to a shape to observe the resulting image. In the next part, Identifying Unknown Transformations, the user is challenged to identify the transformation that has been used. In Composing Reflections, users can examine the result of reflecting a shape successively through two different lines. And in the fourth part, Composing Transformations, the users are
challenged to compose equivalent transformations in two different ways. Activities like these allow students to deepen their understanding of congruence, similarity, and reflection, and they also contribute to the study of
transformations, as described in the Geometry Standard.
Individual Lessons
Lesson 1 - Visualizing Transformations
Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an
object's position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of
transformations. In this part, Visualizing Transformations, one can choose a transformation and apply it to a shape to observe the resulting image. In the next part, Identifying Unknown Transformations, the user is challenged to
identify the transformation that has been used. In Composing Reflections, users can examine the result of reflecting a shape successively through two different
lines. And in the fourth part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways. Activities like these allow students to deepen their understanding of
congruence, similarity, and reflection, and they also contribute to the study of transformations, as described in the Geometry Standard.
Lesson 2 - Identifying Unknown Transformations
Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an
object's position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of
transformations. In the first part, Visualizing Transformations, one can choose a transformation and apply it to a shape to observe the resulting image. In this
part, Identifying Unknown Transformations, the user is challenged to identify the transformation that has been used. In Composing Reflections, users can examine the result of reflecting a shape successively through two different lines. And in the fourth part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways.
Activities like these allow students to deepen their understanding of congruence, similarity, and reflection, and they also contribute to the study of transformations, as described in the Geometry Standard.
Lesson 3 - Composing Reflections
Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an
object's position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of
transformations. In the first part, Visualizing Transformations, one can choose a transformation and apply it to a shape to observe the resulting image. In the
next part, Identifying Unknown Transformations, the user is challenged to identify the transformation that has been used. In this part, Composing Reflections, users can examine the result of reflecting a shape successively
through two different lines. And in the fourth part, Composing Transformations, the users are challenged to compose equivalent transformations in two different
ways. Activities like these allow students to deepen their understanding of congruence, similarity, and reflection, and they also contribute to the study of transformations, as described in the Geometry Standard.
Lesson 4 - Composing Transformations
Rotations; translations, or slides; and reflections, or flips, are geometric transformations that change an
object's position or orientation but not its shape or size. The interactive figures in this four-part example allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of
transformations. In the first part, Visualizing Transformations, one can choose a transformation and apply it to a shape to observe the resulting image. In the
next part, Identifying Unknown Transformations, the user is challenged to identify the transformation that has been used. In Composing Reflections, users can examine the result of reflecting a shape successively through two different lines. And in this part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways. Activities like these allow students to deepen their understanding of congruence, similarity, and reflection, and they also contribute to the study of transformations, as described in the Geometry Standard.
