Inequalities in Two Triangles

Which of the following must be true?

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

Fill in the blank:

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 ____________ the third side of the second.

Find the range of possible values of x.

The angle that a person makes as he or she is sitting changes with the task. The diagram shows the position of a student at his desk. In which position is the angle measure a° at which he is sitting the greatest?

Use the figure to write an inequality relating the given pair of segment measures.

WU and YU

Compare m∠TUW and m∠VUW

Compare  $m\angle ACB\$ and  $m\angle GDE$  

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

Compare PS and SR.

Choose the TRUE statement.

Choose the TRUE statement.

What are the possible values for x?