In this worksheet, we will practice correlating the measurements of the side lengths of two triangles with the angle measures in each triangle.

**Q1: **

Consider the two triangles in the diagram.

Length is equal to length and length is equal to length . Given that the perimeter of triangle 1 is less than the perimeter of triangle 2, what does the converse of the hinge theorem tell us about the measures of angles and ?

- AThe measure of is equal to the measure of .
- BThe measure of is smaller than the measure of .
- CThe measure of is greater than the measure of .

**Q2: **

Consider the triangles and , where and . Given that and using the converse of the Hinge theorem, determine whether is greater than .

- A is equal to .
- B is smaller than .
- C is greater than .

**Q3: **

In the triangles, using the converse of the hinge theorem, determine whether is greater than, less than, or equal to .

- A is equal to .
- B is larger than .
- C is less than .