Education Technology

The Hinge Theorems

Activity Overview

Students will explore the inequality relationships that arise when some of the triangle congruence conditions are in place but others are not. The SAS Inequality Theorem and the SSS Inequality Theorem are often referred to as the Hinge Theorem and its converse. These two theorems concern inequalities involving the sides and angles of two triangles.

Key Steps

  • Image

    On page 1.3, students should construct a triangle (MENU > Shapes > Triangle) and label the vertices A, B, and C.
    Note: If the vertices are not labeled as they are created, simply use the Text tool (MENU > Actions > Text).