Hinge Theorems

THE TRIANGLE INEQUALITY
AND INEQUALITIES IN TWO

TRIANGLES

Learning Targets:

◦By the end of this lesson the student will be able to …

• Understand the triangle inequality theorem and the hinge

theorem.

• prove and apply the triangle inequality theorem and the hinge

theorem.

Learning Targets:
•By the end of this lesson the student will be able to …

•Understand the triangle inequality theorem and
the hinge theorem.

•prove and apply the triangle inequality
theorem and the hinge theorem.

​ACTIVITY 2:

Multiple Choice

Is it possible to form a triangle with the given side lengths?

2mm, 5mm, 6mm

• YES

• NO

Multiple Choice

Is it possible to form a triangle with the given side lengths?

3 yd, 4yd, 8yd

• YES

• NO

Learning Targets:
•By the end of this lesson the student will be able to …

•Understand the triangle inequality theorem and
the hinge theorem.

•prove and apply the triangle inequality
theorem and the hinge theorem.

Multiple Choice

ACTIVITY 3

• NL < GL

• NL > GL

ACTIVITY 4:
Independent Practice

Blue Group: Pg 43-44: Question 8, 12
Pg 49 Question: 1, 2

Green Group: Pg 43-44: Question 7, 8, 11

Orange Group: Pg 43-44: Question 5, 6, 10

Red Group: Pg 43-44: Question 1, 2, 9

Open Ended

EXIT TICKET