5-6 Inequalities in Two Triangles

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5-6 Inequalities in Two Triangles

The Hinge Theorem When you close a door, the angle between the door and the frame (at the hinge) gets smaller. Hinge Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is opposite the larger included angle.

Using the Hinge Theorem What inequality relates SK to YU?

What inequality relates LN to OQ?

The Converse of the Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the third sides are not congruent, then the larger included angle is opposite the longer third side.