Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem.

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Presentation transcript:

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second

Math I Unit 3 Concept: Triangular Inequalities

The Hinge Theorem Converse If two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle 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

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem Converse If two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle 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

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem Converse If two sides of a triangle are congruent to two sides of another triangle, and the third side of the first triangle 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