1. Section 5.6 Inequalities in Two Triangles
OBJECTIVE: To apply inequalities in two triangles
BIG IDEA: Visualization
ESSENTIAL UNDERSTANDING:
In triangles that have two pairs of congruent sides, there is a relationship between the included angle and the third pair of sides.
MATHEMATICAL PRACTICE:
Construct viable arguments and critique the reasoning of others

2. Hinge Theorem: If ____________ sides of one triangle are _______________ to two sides of another triangle, and the __________________ angles are not _______________, then the _______________ third side is ______________ the larger included angle.
Converse of the Hinge Theorem: If ________ sides of one triangle are _______________ to two sides of another triangle, and the ________ sides are not ________________, then the larger _______________ angle is ____________ the longer third side.
THEOREMS

3. EXAMPLE EX 1: Complete with <, > or =
a) BC ________ EF b) JG ________ JI
EXAMPLE

4. EX 1: Complete with <, > or =
c) d)
EXAMPLE

5. Ex 2: Match the conclusion on the right with the given information
Ex 2: Match the conclusion on the right with the given information. Explain your thinking A) B) C) D) .

6. EX 3: Use an inequality to describe a restriction on the value of x as determined by the Hinge Theorem or its Converse
a) b)
EXAMPLE

7. 5.6 p – 20 evens, 13, 19
9 questions