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Is x greater at 1:00 or 3:00? Lesson 5-5 Inequalities involving two triangles What part of the clock affects the length of x? Its greater at 3:00 The angle.

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Presentation on theme: "Is x greater at 1:00 or 3:00? Lesson 5-5 Inequalities involving two triangles What part of the clock affects the length of x? Its greater at 3:00 The angle."— Presentation transcript:

1 Is x greater at 1:00 or 3:00? Lesson 5-5 Inequalities involving two triangles What part of the clock affects the length of x? Its greater at 3:00 The angle between the hour hand and minute hand

2 Hinge Theorem When you close a door, the angle between the door and the frame (at the hinge) gets smaller. If two sides of one 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. V X W R S T XW > Lesson 5-5

3 Converse Of Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first 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. D E F A C B > Lesson 5-5

4 Using Hinge Theorem and its Converse Lesson 5-5

5 Using Hinge Theorem and its Converse What inequality relates SK and YU? > Lesson 5-5

6 Using Hinge Theorem and its Converse What inequality relates LN and OQ? > Lesson 5-5

7 Using Hinge Theorem and its Converse Complete the statement with Explain > Lesson 5-5 A D B C

8 Using Hinge Theorem and its Converse Lesson 5-5 > 10)

9 Using Hinge Theorem and its Converse Lesson 5-5 < 11)

10 Using Hinge Theorem and its Converse Lesson 5-5 > 12)

11 Using Hinge Theorem and its Converse Lesson 5-5 > 13)

12 Using Hinge Theorem and its Converse Lesson 5-5 < 14)

13 Using Hinge Theorem and its Converse Lesson 5-5 > 15)

14 Using Hinge Theorem and its Converse Lesson )

15 Using Hinge Theorem and its Converse Lesson x 18) A B M C 1 2 Given

16 BONUS Lesson ) D B C A 2 1 Given Prove StatementsReasons given Exterior angle theorem Hinge theorem

17 Homework Page 271 # all Lesson 5-5


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