### Home > INT2 > Chapter 2 > Lesson 2.1.3 > Problem 2-31

2-31.

Determine whether or not the triangles in each pair below are congruent. Justify your conclusion with a triangle congruence theorem. Homework Help ✎

a. | Find the lengths of the missing sides using the Pythagorean Theorem. Congruent by HL ≅, SSS ≅, SAS ≅. | b. | What do the tick marks on the angles and sides mean? |

c. | Do the tick marks prove the triangles are congruent, or is more information needed? They are not necessarily congruent. There is no such thing as SSA ≅. | d. | Does the fact that they share a side help prove they are congruent? |