'Third side' presentation slideshows

Welcome to Final Review Jeopardy!

Welcome to Final Review Jeopardy!. With your host, Mrs. Barnes. TRIG. TRIG. TRIG. TRIG. TRIG. 5 pt. 5 pt. 5 pt. 5 pt. 5 pt. 10 pt. 10 pt. 10 pt. 10 pt. 10 pt. 15 pt. 15 pt. 15 pt. 15 pt. 15 pt. 20 pt. 20 pt. 20 pt. 20 pt. 20 pt. 25 pt. 25 pt. 25 pt. 25 pt. 25 pt.

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The Third Side William L. Ury Harvard University

The Third Side William L. Ury Harvard University. The Challenge. What will it take to transform destructive conflict into constructive conflict at home, at work, in the community & in the world?. Two Sides of the Conflict. Side 1. Side 2. The Third Side of the Conflict. Side 3.

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Inequalities

Warm up question: You are presented with five cards shown as follows: Given that each card has one letter on one side and one number on the other side, which cards need to be flipped in order to determine the validity of the following statement:

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The Law of cosines

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Parallel Lines and Proportional Parts

Parallel Lines and Proportional Parts. Section 7.4. Proportional parts of triangles. Non parallel transversals that intersect parallel lines can be extended to form similar triangles. So, the sides of the triangles are proportional. Side Splitter Theorem or Triangle Proportionality Theorem.

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Midsegments of Triangles 5.1

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Pythagorean triples

Pythagorean triples. Who was Pythagoras?. Pythagoras was a bully!. He lived in Greece from about 580 BC to 500 BC. He is most famous for his theorem about the lengths of the sides in right angled triangles. What are Pythagorean Triples?.

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The inverse trigonometric functions

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5.5 Inequalities in Triangles

5.5 Inequalities in Triangles. Chapter 5 Relationships Within Triangles. Theorem 5-10. If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. Y. 11. 12. X. 14. Z. <Y is the largest angle. Comparing Angles.

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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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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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Lesson 5.1 Midsegment Theorem and Coordinate Proof

Lesson 5.1 Midsegment Theorem and Coordinate Proof. B. E. D. C. A. Vocabulary. The Midsegment of a Triangle is a segment that connects the midpoints of two sides of the triangle. D and E are midpoints. DE is the midsegment. B. E. D. C. A. Theorem 5.1. Midsegment Theorem.

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Objectives

Objectives. State the inequalities that relate angles and lengths of sides in a triangle State the possible lengths of three sides of a triangle. Angle-Side Relationships in a Triangle. If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side.

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Lesson 8.6

Lesson 8.6. Proportions and Similar Triangles. Lesson 8.6 Objectives. Identify proportional components of similar triangles Use proportionality theorems to calculate segment lengths. Theorem 8.4: Triangle Proportionality

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Solving Applied problems

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5.3 Proving Triangle Similar

5.3 Proving Triangle Similar. Postulate 15: If the three angles of one triangle are congruent to the three angles of a second triangle, then the triangles are similar (AAA)

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EXAMPLE 3

EXAMPLE 3. Find possible side lengths. ALGEBRA. A triangle has one side of length 12 and another of length 8 . Describe the possible lengths of the third side. SOLUTION.

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5.3 Proving Triangle Similar

5.3 Proving Triangle Similar. Postulate 15: If the three angles of one triangle are congruent to the three angles of a second triangle, then the triangles are similar (AAA)

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EXAMPLE 4

AB DE. BC EF. m B > m E. Proof : Assume temporarily that m B > m E . Then, it follows that either m B = m E or m B < m E . EXAMPLE 4. Prove the Converse of the Hinge Theorem. Write an indirect proof of Theorem 5.14 . GIVEN :. AC > DF. PROVE:.

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7.1 Law of Sines Day 1

7.1 Law of Sines Day 1. Do Now Let Triangle ABC be a right triangle where angle C is 90 degrees, angle B is 37.1 degrees, and side BC is 6.3 Solve the triangle. Test Review. Retakes by . Solving Triangles.

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