WORKSHEET ON HINGE THEOREM

Refer to each figure given write an inequality relating the given pair of angle or segment measures.

Problem 1 :

m∠1, m∠2

Problem 2 :

m < 1, m < 2

Write an inequality or pair of inequalities to describe the possible values of x. Then solve the inequality to find the values of x.

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Problem 7 :

Problem 8 :

Problem 9 :

Problem 10 :

Problem 11 :

Answer Key

1) m ∠1 > m ∠2

2) m∠1 > m ∠2

3) 14 < x

4) x < 6

5) x > 4

6) x > 7

7) 7 > x

8) x < 8

9) x > 7

10) x > 7

11) x > 2