Students are using geometric transformations to help them find the corresponding sides of similar figures in order to use their proportionality. The mathematics task is intended to be a problem or question that encourages the use of mathematical practices. The dialogue is meant to show how students might engage in the mathematical practices as they work on the task.

Information and image of similar triangles with drag and drop side lengths based on proportional sides.

In this lesson, students know that similarity is both a symmetric and a transitive relation.

This worksheet provides a multiple choice problem set with transformations and congruence. This could also be used as an assessment.

In this lesson, students learn that when lines are translated they are either parallel to the given line, or the lines coincide. Students learn that translations map parallel lines to parallel lines.

In this lesson, students perform translations of figures along a specific vector. Students label the image of the figure using appropriate notation. Students learn that a translation maps lines to lines, rays to rays, segments to segments, and angles to angles. Students learn that translations preserve lengths of segments and degrees of angles.

Composing Transformations--This is part four of a four-part e-example from Illuminations that features interactive figures that allow a user to manipulate a shape and observe its behavior under a particular transformation or composition of transformations. In this part, Composing Transformations, the users are challenged to compose equivalent transformations in two different ways. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math Investigations.

For this lesson students will use graphing calculators(TI-83 Plus) to find transformations of polygons.