1. 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

2. 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
>

3. 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
>

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

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

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

7. 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
>

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

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

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

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

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

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

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

15. 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

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

17. Lesson 5-5
Homework
Page 271
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