Bell ProblemList the sides and angles in order from smallest to largest.

5.6 Inequalities in Two Triangles

Standards:1. Develop mathematical arguments and

proofs2. Use types of reasoning/methods of proof

Hinge Theorem

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angles of the second, then the third sides of the first is longer than the third side of the second.

Converse of the Hinge Theorem

If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second.

Ex. Given that ST ≅ PR, how does <PST compare to <SPR?

Ex. Use the diagram.a. If PR = PS and m<QPR > m<QPS, which is longer, SQ

or RQ?

b.If PR = PS and RQ < SQ, which is larger, <RPQ or <SPQ?

Ex. Copy and complete with <, >, or =.

Ex. Write and solve an inequality to describe a restriction on the value of x.

Homework

5.6 Practice B worksheet