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BASIC GEOMETRY Section 5.6: Inequalities in 2 Triangles

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1 BASIC GEOMETRY Section 5.6: Inequalities in 2 Triangles

2 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 across from the larger included angle.

3 Converse of Hinge Theorem
Still need two sides congruent to two sides If the 3rd side is longer, then the angle across from it is longer.

4 Example 1 Compare m∠BAC & m∠DAC

5 Example 2 Compare EF & FG

6 Example 3 Find the range of values for k.

7 Assignment #6 Page 343 #’s 1-7,(40)


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