1. 5.6 Inequalities in Two ∆s
Mrs. vazquez
Geometry

2. g-Co.2.7, 3.10 Essential Question:
How do ∆ side measures relate with its opposite ∡?
Objective:
Students will inequalities to compare two ∆s.

3. Hinge Theorem
If two sides of one ∆ are ≅ to two sides of another ∆, and the included ∡ of the first is larger than the included ∡ of the second, then the third side of the first is longer than the third side of the second.
If AB≅DE and AC≅DF, and m∡A > m∡D,
then BC > EF.

4. Converse of Hinge Theorem
If two sides of one ∆ are ≅ to two sides of another ∆, and the third side of the first is longer than the third side of the second, then the included ∡ of the first is larger than the included ∡ of the second.
If AB≅DE and AC≅DF, and BC > EF,
then m∡A > m∡D.

5. If PR=PS and m∡QPR > m∡QPS, which is longer, SQ or RQ?
If PR=PS and RQ < SQ, which is larger, ∡RPQ or∡SPQ? P
S R Q