Triangles and Congruence

Here the focus is on triangle congruence. Through an activity that requires investigation, questioning, and working together, geometers learn to identify corresponding parts of triangles to determine if the triangles are congruent....

Show congruence in only two moves. Given the measures of sides and angles of two triangle, pupils determine the transformations needed to show the two triangles are congruent. Learners use a combination of a rotation and translation.

Show your school spirit while proving theorems about triangles! Your student geometers are charged with coming up with a new design for the school pennant, following specific guidelines. Along the way, they need to prove the theorem that...

Translate, reflect, and rotate one triangle onto another. Given two triangles with corresponding parts, individuals use properties of rigid transformations to show the two triangles are congruent. Pupils show that after a series of...

Is this enough to show the two triangles are congruent? Small groups work through different combinations of constructing triangles from congruent parts to determine which combinations create only congruent triangles. Participants use the...

Understand congruent triangles using transformations. The lesson introduces the concept of using rigid transformations to show that two triangles are congruent. Pupils use patty paper and other tools to develop the concept before showing...

Given two congruent triangles, the resource provides the definition of congruent triangles and marks the corresponding parts. The portion of a basic geometry playlist shows the triangles are congruent by moving one on top of the other...

SAS is not just a spy organization. A section of an extensive geometry playlist introduces a way to show two triangles are congruent, SAS. Using diagrams, the video provides an explanation by showing only one triangle is formed with two...

Given two overlapping triangles with a congruent angle, a common angle, and a congruent side, a simple proof is shown in this video. Using the ASA (angle-side-angle) postulate, the instructor shows how the two triangles are congruent.

Get lost in the classifications. Using the backdrop of the Bermuda Triangle, pupils classify it by angle and side measures. They also learn information about the triangle and its history.