Lesson 5 6 Inequalities in two triangles Is

Lesson 5 -6 Inequalities in 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 minute hand

Hinge Theorem Lesson 5 -6 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. W V S WX > ST R T X

Converse Of Hinge Theorem Lesson 5 -6 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 A > C B F E

Lesson 5 -6 Using Hinge Theorem and its Converse

Lesson 5 -6 Using Hinge Theorem and its Converse What inequality relates SK and YU? >

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

Lesson 5 -6 Using Hinge Theorem and its Converse Complete the statement with < or > Explain A B ide ns o m m Co D C >

Lesson 5 -6 Using Hinge Theorem and its Converse <

Lesson 5 -6 Using Hinge Theorem and its Converse >

Lesson 5 -6 Using Hinge Theorem and its Converse >

Lesson 5 -6 Using Hinge Theorem and its Converse <

Using Hinge Theorem and its Converse Lesson 5 -6 3 3

Using Hinge Theorem and its Converse Lesson 5 -6 B 2) M Given A 8 -3 -3 1 2 C 8

Lesson 5 -6 HW page 355, 356, and 357 Find the range of values for x 4) 7 (2 x + 8)o 25 o 8

Lesson 5 -6 HW page 355, 356, and 357 Find the range of values for x 9 5) 53 o 62 o 5 x - 6

Lesson 5 -6 HW page 355, 356, and 357 Find the range of values for x 6) 64 o 35 o x+7 2 x - 5

Lesson 5 -6 10) HW page 355, 356, and 357 B 8 6 D 10 C D 11 B 8 6 C

Lesson 5 -6 11) TU and SV HW page 355, 356, and 357 S T 21 47 o 39 o V 21 U

Lesson 5 -6 HW page 355, 356, and 357 Compare, Write >, < or = Q 18) 8 5. 1 P R 8 5. 4 8 S

Lesson 5 -6 HW page 355, 356, and 357 Compare, Write >, < or = Q 20) 8 5. 1 P R 8 5. 4 8 S

Lesson 5 -6 HW page 355, 356, and 357 Compare, Write >, < or = Q 22) 8 5. 1 P R 8 5. 4 8 S

Lesson 5 -6 HW page 355, 356, and 357 Make a conclusion based on Hinge Theorem 24)In and , , , and C F 59 o B 47 o A Conclusion E D

Lesson 5 -6 HW page 355, 356, and 357 Is an isosceles with base Are vertex S and V on. The endpoints of 25) S R Conclusion 4 V 5 T

HW page 355, 356, and 357 Lesson 5 -6 26)In and , is an acute angle. , , H J G Conclusion is a right angle L M acute K

Lesson 5 -6 27) HW page 355, 356, and 357 is a median to and X Y Conclusion M Z

Lesson 5 -6 31) HW page 355, 356, and 357 is a median of Which inequality best describes the range of values for x? K M 5 (3 x (2 x + J ANS: D – L o 9) 1) o 7

Lesson 5 -6 32) HW page 355, 356, and 357 is a median of Which of the following statements is true? ANS: C H A D B