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Lesson 5.5 Inequalities Involving Two Triangles. SAS Inequality TheoremSSS Inequality Theorem (Hinge Theorem) - When 2 sides of a triangle are congruent.

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Presentation on theme: "Lesson 5.5 Inequalities Involving Two Triangles. SAS Inequality TheoremSSS Inequality Theorem (Hinge Theorem) - When 2 sides of a triangle are congruent."— Presentation transcript:

1 Lesson 5.5 Inequalities Involving Two Triangles

2 SAS Inequality TheoremSSS Inequality Theorem (Hinge Theorem) - When 2 sides of a triangle are congruent to 2 sides of another triangle, and the included angle of one triangle is greater than the included angle of the other triangle… Then, the side opposite the larger angle is larger than the side opposite the smaller angle - When 2 sides of a triangle are congruent to 2 sides of another triangle, and the 3 rd side of a triangle is greater than the 3 rd side of the other triangle… Then, the angle opposite the larger side is larger than the angle opposite the smaller side

3 A. Compare the measures AD and BD.

4 B. Compare the measures  ABD and  BDC.

5 ALGEBRA Find the range of possible values for a.

6 Find the range of possible values of n.


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