# Lesson 5-5 Inequalities involving two triangles

## Presentation on theme: "Lesson 5-5 Inequalities involving two triangles"— Presentation transcript:

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

Hinge Theorem Lesson 5-5 >
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 >

Converse Of Hinge Theorem
Lesson 5-5 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 >

Using Hinge Theorem and its Converse
Lesson 5-5 Using Hinge Theorem and its Converse

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

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

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

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

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

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

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

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

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

Using Hinge Theorem and its Converse
Lesson 5-5 Using Hinge Theorem and its Converse 16) +2 +2

Using Hinge Theorem and its Converse
Lesson 5-5 Using Hinge Theorem and its Converse A B M C 2 18) Given 1 -8x -8x +100 +100 -20 -20

BONUS 20) Lesson 5-5 Given Prove Statements Reasons given
D B C A 2 1 20) Given Prove Statements Reasons given Exterior angle theorem Hinge theorem

Lesson 5-5 Homework Page 271 # all