'Hinge theorem' diaporamas de présentation

Jeopardy

Jeopardy. Triangle Inequality. Triangle Sides. Hinge Theorem. Converse of Hinge Theorem. Q $100. Q $100. Q $100. Q $100. Q $200. Q $200. Q $200. Q $200. Q $300. Q $300. Q $300. Q $300. Q $400. Q $400. Q $400. Q $400. Q $500. Q $500. Q $500. Q $500. Final Jeopardy.

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6.1 Laws of Sines

6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle. Oblique triangle is a triangle that contains no right angle. . The Laws of Sines. Using the Law of Sines. Given: How do you find angle B?. Using the Law of Sines. Given: How do you find side b?.

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5.6 Indirect Proof & Inequalities in Two Triangles

5.6 Indirect Proof & Inequalities in Two Triangles. Geometry Mrs. Spitz Fall 2004. Objectives:. Read and write an indirect proof Use the Hinge Theorem and its Converse to compare side lengths and angle measures. Assignment. pp. 305-306 #1-24 all. Using Indirect Proof.

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5.6 Indirect Proof & Inequalities in Two Triangles

5.6 Indirect Proof & Inequalities in Two Triangles. Geometry Mrs. Spitz Fall 2004. Objectives:. Read and write an indirect proof Use the Hinge Theorem and its Converse to compare side lengths and angle measures. Assignment. pp. 305-306 #1-24 all. Using Indirect Proof.

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5.6 Inequalities in Two Triangles and Indirect Proof

5.6 Inequalities in Two Triangles and Indirect Proof. Essential Question:. How do you write an indirect proof?. You will use inequalities to make comparisons in two triangles. You will learn how to answer this question by using the opposite of what they are trying to prove.

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5.6 Indirect Proof and Inequalities in Two triangles

5.6 Indirect Proof and Inequalities in Two triangles. Indirect proof starts by Assuming the opposite of the truth. Statement: In a right triangle, the triangle does not have more than one right angle. What would you assume if you want to prove the statement correct by an indirect proof?.

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Chapter 5 Section 7 Inequalities in Two Triangles

Chapter 5 Section 7 Inequalities in Two Triangles. Objectives. Students will be able to apply inequalities in two triangles. Essential Understanding. In triangles that have two pairs of congruent sides, there is a relationship between the included angle the third pair of sides.

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Lesson Menu

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5.6 Indirect Proof and Inequalities in Two Triangles

5.6 Indirect Proof and Inequalities in Two Triangles. Advanced Geometry. HINGE THEOREM.

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Proving Triangles Congruent

Proving Triangles Congruent. 9.3.3.6 Know and apply properties of congruent and similar figures to solve problems and logically justify results. . Guiding Question: How can we prove 2 triangles are congruent to each other?.

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5-7 Inequalities in Two Triangles

5-7 Inequalities in Two Triangles . Inequalities in Two Triangles. Earlier in this chapter, we looked at properties of individual triangles using inequalities. We know that the largest angle is opposite the longest side. Also, the smallest angle is opposite the shortest side.

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5.6

5.6. Inequalities in Two Triangles. W. V. S. X. R. T. Theorem 5.14: Hinge Theorem.

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Inequalities in Two Triangles

Inequalities in Two Triangles. Chapter 5 Section 7. Objective. Students will apply inequalities in two triangles. This means that students will use angle side relationships to solve problems in two triangles. The Hinge Theorem (5-3).

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The Hinge Theorem

The Hinge Theorem. 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.

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The Hinge Theorem

The Hinge Theorem. 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 opposite the larger included angle.

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5.7 Inequalities in Two Triangles

5.7 Inequalities in Two Triangles. The Hinge Theorem (SAS Inequality 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 opposite the larger included angle. Using the Hinge Theorem.

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Example 1A:

Example 1A:. Compare m ? BAC and m ? DAC. Compare the side lengths in ? ABC and ? ADC. AB = AD AC = AC BC > DC. By the Converse of the Hinge Theorem, m ? BAC > m? DAC. Example 1B:. Compare EF and FG. Compare the sides and angles in ? EFH angles in ? GFH.

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Hinge Theorem

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