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5.2 Inequalities and Triangles

5.2 Inequalities and Triangles. Objectives. Recognize and apply properties of inequalities to the measures of angles in a triangle Recognize and apply properties of inequalities to the relationships between angles and sides of triangles. Inequalities.

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NCTM Standards: 2, 3, 6, 8, 9, 10

NCTM Standards: 2, 3, 6, 8, 9, 10. (Only one is possible). These properties can also be applied to the measures of angles & segments. Example 2-1a. Determine which angle has the greatest measure. Explore Compare the measure of ? 1 to the measures of ? 2, ? 3, ? 4, and ? 5.

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Lesson 5-2 Theorems

Lesson 5-2 Theorems. Theorem 5.8 Exterior Angle Inequality Theorem If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles Theorem 5.9

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5.2 Inequalities and Triangles

NCTM Standards: 2, 3, 6, 8, 9, 10

Lesson 5-2 Theorems