This activity works best when each student has individual access to the learning objects.
The aim of this virtual congruence activity (National Library of Virtual Manipulatives, Utah State University) is for students to form two triangles that are congruent. They choose which congruence test they want to explore and are then presented with two sets of measurements, one red and the other blue. Each set of measurements matches one of the congruence tests.
Once the triangles have been completed, students can rotate, translate or reflect the images to place one on top of the other. This confirms the congruence of the triangles. Students could discuss their findings in small groups.
The interactive also has extensive explanations of the congruence test under consideration. Consequently, it is valuable for students to explore congruence through paper, pencil and protractor constructions prior to doing this activity.