Short Quiz: Triangle Inequalities of Two Triangles

1. Hinge theorem states that if two triangles have:

• A.    two congruent sides, then the triangle with the smaller included angle between those sides will have the longer third side.

• B.    two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.

• C.    no congruent sides, then the two triangles are congruent.

• D.    two congruent sides, but the third sides have different lengths, then the two triangles are congruent.

• A.    AC is longer than DF.

• B.    DF is shorter than AC.

• C.    AB is longer than DE.

• D.    DF is longer than AC.

3. The position of the swing changes based on how hard the swing is pushed. Which pairs of segments are congruent?

7. From the inequalities in the triangles shown, a conclusion can be reached using the converse of hinge theorem. Which of the following is the last statement?