In this worksheet, we will practice using the hinge theorem.

**Q2: **

Given that , use the hinge theorem to find the range of all possible values of in the figure.

- A
- B
- C
- D
- E

**Q3: **

Consider triangles and in the figure.

Without completing any calculations, use the hinge theorem to determine whether is greater than, less than, or equal to .

- A and are equal.
- B is less than .
- C is greater than .

**Q4: **

Given that and , find the range of all possible values of using the Hinge theorem.

- A
- B
- C
- D
- E

**Q5: **

In the figure, . Use the hinge theorem to find the range of all possible values of .

- A
- B
- C
- D